A line is drawn so that it passes through the points (-3, -1) and (4, 2).

a. What is the slope of the line?

b. Using the point (4, 2) and the slope found above, write the equation of the line in point-slope form.

Answers

Answer 1

Answer:

y - 2 3/7 (x-4)

Step-by-step explanation:

A) To find slope, use the equation:where  and  are the x and y values of one coordinate point  , and  and  are the x and y values of another coordinate point . Since we are given two coordinate points, (-3,-1) and (4,2), that means we can find the slope using the slope equation.  

Let's choose (4, 2) as your  point and (-3, -1) as your  point, but you can switch those if you want! That makes  and x^1 = -3, y1 = -1 . Plug these values into the slope equation:

The slope of the line is 3/7.

B) Remember that the general equation for point-slope form is, where m = the slope,  = the x value of a coordinate point on the line, and  = the y value of the same coordinate point on the line.  

You are given (4, 2) as one of the coordinate points. That means  = 4 and  = 2. We found the slope, m =  in part A. Now plug these values into the general equation for point-slope form to find your point-slope form equation:

Your point-slope form equation is y - 2 3/7 (x-4).

Answer 2

Answer:

a. 3/7 b. y=3/7x+2/7

Step-by-step explanation:

(-1-2)/(-3-4)=3/7

slope is 3/7

apply point for answer

2=3/7(4)+n

n=2/7

apply

y=3/7x+2/7


Related Questions

PLEASE HURRY THIS IS TIMED !!!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

What is the inverse of the function f(x) =√x-2

Answers

y=√x−2⇒y2=x−2⇒x=y2+2

Keith wants to buy an IPad for $500. He wants to earn enough money delivering pizzas to cover at least two-fifths of the cost.

Part A.

If he earns $12.50 per hour at work, write an inequality that represents how many hours Keith's needs to work



Part B

Solve your inequality? Justify your answer.

Answers

Answer:

Step-by-step explanation:

500 / 5 = 100 (that's 1 fifth, so 2 fifths will be 200)

200 / 12.5 = 16 (he will have to work 16 hours to get $200)

the inequality would be:

x * 12.5 >= 500 * 0.4 (something like that)

40
X
5. A health-food business would like to create a high-potassium blend of dried fruit in the form
of a box of fruit bars. It decides to use dried apricots, which have 407 mg of potassium per
serving, and dried dates, which have 271 mg of potassium per serving.
4
y
The company can purchase its fruit through www.driedfruitbaskets.com in bulk for a
reasonable price. Dried apricots cost $3.33/serving and dried dates cost $2/serving. The company
would like the box of bars to have at least the recommended daily potassium intake of about
4700 mg, but would like to keep it under twice the recommended daily intake. In order to
minimize cost, how many servings of each dried fruit should go into the box of bars?
5
Objective Function:
Constraints:
Corner Points & Answer:

Answers

Thus, the values corresponding to the function and constraints will be:

Objective Function:[tex]C=3.33X+2.00Y[/tex]

Constraints:[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]

We begin by defining the variables. Let call:

X = of servings of dried apricots

Y= of servings of dried dates

For apricots, there are 3 servings in one pound. This means that the cost per serving is $9.99/3 = $3.33. The cost for X:

[tex]3.33X[/tex]

For dates, there are 4 servings per pound. This means that the cost per serving is $7.99/4=$2.00. The cost for Y:

[tex]2.00Y[/tex]

The total cost would be:  

[tex]C=3.33X+2.00Y[/tex]

Product must contain at least 4700mg of potassium

[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]

So now with the equations set it is possible to see that the desired values are between 9400 and 4700. Then using the critical points X=0, Y=0 for the two given equations. This will inform the points of interest for X and Y if this analysis is needed for the exercise.

Learn more: brainly.com/question/16173741

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x - 5)?
-
o
-5
-4
-3
-1
0
1
2
3
4
5
f
.
-5
-4
-3
-2.
-1
o
3
o
1
2
4
5
+
+
-4
-5
-3
-2
-1
+
1
o
+
2.
+
3
+
4
5
Ол
O
3
-5
-4
-3
-2
-1
o
1
2.
3
4
5

Answers

Answer:

3 8-4× less than 6 ×-5 and then you solve the equation

use properties of logarithms to condense logc Yc X


Answers

{7272-92927^7262>6363}+66=726823

The number of ways to choose three different pizza toppings from a group of six is called a ?

Answers

Answer:

Uh, 16.

Step-by-step explanation:

We need to choose three different toppings. So here we need to find the number of ways in which we can choose three different toppings out off. 16. So a number of ways are takes three at a time, from a total of 16. That is civilians combination. Here are formula for combination is 16 factorial over three factorial into 16 minus three. Factorial this candidate and a 16 factorial over three factorial into 16 minus trees. 13. Authority in factorial, now 16. Factory converted on a 16 in 2 15 into 14 into 13. Factorial over three factorial into 30. In fact, a real as we can see that 13 factorial is common toward denominator and numerator so we can get through this. Now I remaining times are 16 into 15 into 14. Over three in Toto into one has three factories, three in tow, one So calculating this ticket. Find 60 Soviet 56 TVs to select three different topics. Talked to select three different toppings out off 16 on a bizarre

Jack and Jill, trying to do math and chill, when they ran into a problem. They can't agree on what the answers should be, so now it's up to you to solve them.
In class, Jack thought as Jill she sought solve an absolute value... she removed the sign from her negative nine and said "the problem should be just about through".
But Jack he said, "no Jill you misread, the negative is on the outside". Still Jill didn't budge, so you be the judge, does this mean that the teacher lied?
Here's the problem Jack and Jill are trying to solve: -|9| = ?Jack thinks the answer is -9, because the negative is outside the absolute value signs. Jill thinks the answer is 9, because the teacher said absolute value is always positive.

Who is right and why? Explain your steps using sentences.

Answers

Answer:

-9

Step-by-step explanation:

the teacher was right

What is an equation in point-slope form for the line that passes through the points (4,-1) and (-3,4)?
y-3= (x+4)
y–4= (x+3)
y+4= (x+3)
y+4= (x+3)​

Answers

Point-Slope Form: y + 1 = - 5/7 • ( x - 4 ). Slope intercept form: y = -5/7 + 13/7. The choices you have are incorrect

The diagram below shows how the tables and chairs are arranged in the school cafeteria. A table seats 3 people and the tables can be pushed together. When two tables come together, 4 people can sit around the table. Complete this table to show the relationship between the number of tables, n, and the number of students, S, who can sit around the table.

Answers

Answer:

well in theory on tabe has to be smaller so I guess the number of people in all is 4 and the difference between the tables are size

(b+3)(b+7) FOIL method

Answers

(b+3)(b+7)

b^2+10b+21

Step-by-step explanation:

(b + 3)(b + 7) = ...

= b² + (3 + 7)b + (3•7)

= b² + 10b + 21

En una panadería, con 80 kg de harina hacen 120 kg de pan. ¿Cuántos kilos de harina serían necesarios para hacer 360 Kg de pan?

Answers

Answer:

240 kg

multiplica 360 con 80 y luego dividelo por 120. Que equivale a 240, o divide 120 por 80 que te da 1.5 y multiplicalo por 240 que equivale a el total 360 Kg

Events A and B are disjoint. Find P(AorB) when P(A) = 0.55 and P(B) = 0.2

P (A or B)=

Answers

Answer:

0.75 = P(A or B)

Step-by-step explanation:

Since the events are disjoint, we can find the probability of one or the other occurring merely by adding P(A) and P(B):  0.55 + 0.2 = 0.75 = P(A or B)

(x^2+ 6x + 9) / (x-3)

Answers

Answer:

Simplify:

[tex]\frac{( {x}^{2} + 6x + 9) }{x - 3} [/tex]

Factoring:

[tex] {x}^{2} + 6x + 9[/tex]

The first term is, x2 its coefficient is 1 .

The middle term is, +6x its coefficient is 6 .

The last term, "the constant", is +9

Step-1 : Multiply the coefficient of the first term by the constant 1 • 9 = 9

Step-2 : Find two factors of 9 whose sum equals the coefficient of the middle term, which is 6 .

-9 + -1 = -10

-3 + -3 = -6

-1 + -9 = -10

1 + 9 = 10

3 + 3 = 6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 3

[tex] {x}^{2} + 3x + 3x + 9[/tex]

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x+3)

Add up the last 2 terms, pulling out common factors :

3 • (x+3)

Step-5 : Add up the four terms of step 4 :

(x+3) • (x+3)

Which is the desired factorization.

Multiply (x+3) by (x+3)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+3) and the exponents are :

1 , as (x+3) is the same number as [tex](x+3) {}^{1}[/tex]

and 1 , as (x+3) is the same number as[tex](x + 3) {}^{1} [/tex]

The product is therefore, [tex](x + 3) {}^{(1 + 1)} = (x + 3) {}^{2} [/tex]

Write the equation of the line in point-slope form that has slope 3 and passes through (2, -5).

Answers

Answer:

y+5=3(x-2).

Step-by-step explanation:

1) according to the condition m=3; x₁=2; y₁= -5, then

2) the required equation is y+5=3(x-2).

The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.

800 grams = (How many?)
pounds

700 grams = (How many?)
pounds

Answers

Answer:

Here they are unrounded

800 grams = 1.7637

700 grams = 1.54324

Step-by-step explanation:

Hope this helps

As Sandra drives, her music player randomly selects music from her playlist. Sandra’s playlist contains:

3 traditional country songs

6 traditional rock songs

4 hip-hop rap songs

5 contemporary country songs'

1 Latin rap song

3 traditional pop songs

What is the probability that the player will select some rap music next?

Answers

Answer:

the probability will be 18.18%

18.18 maybe






aaaaaaaaaaaaaaaaaaaaa

What is the geometric mean of
1. 16 and 27
2. 24 and 32
3. 5 and 36
4. 8 and 48

Answers

Answer:

1.  12√3

2.  16√3

3.  6√5

4.  8√6

Step-by-step explanation:

To find the geometric mean of n numbers multiply the numbers and then take the nth root.

For two numbers n = 2  

it's the square root of the product

√(16 * 27)

√432

12√3

√(24 * 32)

√768

16√3

√(5 * 36)

√180

6√5

√(8 * 48)

√384

8√6

please need help answering this

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

Between the points at (x, y) = (-5, 4) and (-4, 6), the graph rises 2 units for a horizontal run of 1 unit. The average rate of change between the two points is ...

  m = rise/run = 2/1 = 2

The average rate of change on the interval [-5, -4] is 2.

Louise spins the spinner twice. Which probabilities are correct? Check all that apply.

Answers

Where are the probabilities?

What is the length of the radius of a circle if the equation for the circle is (x + 2)2 + (y - 9)2 = 22.09?

Answers

Answer:

The radius is 4.7 units.

Step-by-step explanation:

To answer this we need only find the square root of 22.09:  4.7

The radius is 4.7 units.

One thousand families were surveyed to
determine the distribution of families by size. The
results follow.
Family Size 2
3
4
5 6 7 8
Frequency
350
200 245 125
66
10
To the nearest percent, the probability that a given
family has 3 people is [? ]%.

Answers

Answer:

Step-by-step explanation:

probability of an event: number of events that satisfy the criteria/ total number of events

number of events that satisfy the criteria (in this case the number of families with three people)= 200

total number of events= 1000

200/1000= 20%

Write the Equation
Equation

X Y
-2 5
-1 3
0 1
1 -1
y=-X+2
y=x+2
y=2x+1
y-2x+1

Answers

Answer:

y=-5×+13

Step1 inter change ×gy

What is the quotient of 4/5÷1/3

Answers

Solving:

The quotient of a division, is the result of the division, for example, 3 divided by 3, the result is 1, that is the quotient.

[tex]\sf \displaystyle \sf \frac{4}{\:5}\div \frac{1}{3}\\\\\\\sf \frac{4}{5}\times \frac{3}{1}\\\\\\\sf \frac{4\times \:3}{5\times \:1}\\\\\\\sf \frac{12}{5\times \:1}\\\\\\\sf \frac{12}{5}\approx\boxed{\sf 2,2\ll Quotient}[/tex]

Okay?!

Help?????????????????

Answers

Answer:

the first option is the answer

Step-by-step explanation:

A car's value depreciates by 18% in its first year and is now worth £6789.
What was the original price of the car?

Answers

Answer:

  £8279.27

Step-by-step explanation:

The given relationship is ...

  (original price) × (1 - 18%) = £6789

Dividing by the coefficient of the original price, we find it to be ...

  original price = £6789/0.82 = £8279.27

The original price of the car was £8279.27.

"15 is always equal to the product of a number and 5" translates to a mathematical equation.
O True
O False

Answers

Answer:

This is True

Step-by-step explanation:

I know this because it is like dividing you just divide 15 by 5 and the it will be equal

(3x+8)(x+4)

Expand and simplify

Answers

Answer:

Step-by-step explanation:

(3x+8)(x+4), distribute 3x over the second parenthesis first and then the 8

3x² + 12x + 8x + 32 , combine like terms

3x² + 20x + 32

Answer:

3x^2 + 20x + 32

Step-by-step explanation:

Distribute 3x over the second parenthesis first and then the 8.

#CarryOnLearning

The graph f(x)=(x+2)^2-7is translated 5 units left, resulting in the graph g(x). Which equation represents the new function, g(x)?

Answers

Answer: G(x)=(x-3)^2-7

Step-by-step explanation: Translated 5 units to the left is a  negative change and a change in the X axis

The equation represents the new function, g(x) will be G(x)=(x-3)²-7. The correct option is A.

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

It is given that the graph f(x)=(x+2)²-7 is translated as 5 units left, resulting in the graph g(x).

Translated 5 units to the left are a negative change and a change in the X axis. The graph is also attached with the answer below.

The equation represents the new function, g(x) will be G(x)=(x-3)²-7.

To know more about translation follow

https://brainly.com/question/12861087

#SPJ5

Ricardo camina 2 km
en 2 hora. ¿Cuántos
minutos tardará si
DESCANSO
A 2KM
camina 12 km?

Answers

The time it will take ricardo to walk 12km is 12 hours

If Ricardo walks 2 km  in 2 hours, the speed of Ricardo is expressed as:

Speed = Distance/Time

Speed = 2km/2hr

Distance = 1km/hr

To find the time it will take to walk 12km, we will use the same formula:

Time = Distance/Speed

Time = 12km/1km/hr

Time = 12hours

Hence the time it will take ricardo to walk 12km is 12 hours

Learn more on speed here: https://brainly.com/question/13262646

Other Questions
simple past e past perfect 1.They ... (do) nothing before they met me. *a)hadn't donec)haven't doned)have did2.. I thanked him for what he ... (do). *a)has doneb)had donec)had do3.They ... (clean) the room before I ... (call) them. *a)had cleaned - callb)have cleaned - calledc)had cleaned - called4.He ... (tell) us the story of this life before he died. *a)had telledb)had toldc)has told5.He ... (tell) me her name after she ... (leave). *a)told - had leftb)tell - had leavedc)told - has left6.After the students ... (finish) the test the teacher left the room.a)had finishedb)have finishedc)had finish 7.We ... (hear) a strange noise yesterday. *a)have heardb)heardchad heard8.She posted the letter after she ... (write) it. *a)has writtenb)have writtenc)had written9.After they ... (go), I sat down and rested. *a)wentb)had gonec)have gone maitenant on considre un carr ABCD dont l'aire est 6,25 dm au carr quelle est la mesure de son ct AB justifier. questin suivante a.quelle est l'aire en dm au carr de chacun des carr de depart b.quelle est l'aire du nouveau carr obtenu. question6.on veut maitenant trouver la longueure exacte du ct du carr reconstitu sachant que son aire est 2dm au carr on recherche donc un nombre positif x tel que x x =x au carr =2 en faisant differents essais proposer une valeur dcimal pour x puis 7 que peut-ton conclure. The following items were selected from among the transactions completed by Sherwood Co. during the current year:Mar.1Purchased merchandise on account from Kirkwood Co., $225,000, terms n/30.31Issued a 30-day, 8% note for $225,000 to Kirkwood Co., on account.Apr.30Paid Kirkwood Co. the amount owed on the note of March 31.Jun.1Borrowed $600,000 from Triple Creek Bank, issuing a 45-day, 6% note.Jul.1Purchased tools by issuing a $50,000, 60-day note to Poulin Co., which discounted the note at the rate of 6%.16Paid Triple Creek Bank the interest due on the note of June 1 and renewed the loan by issuing a new 30-day, 7% note for $600,000. (Journalize both the debit and credit to the notes payable account.)Aug.15Paid Triple Creek Bank the amount due on the note of July 16.30Paid Poulin Co. the amount due on the note of July 1.Dec.1Purchased equipment from Greenwood Co. for $280,000, paying $80,000 cash and issuing a series of ten 9% notes for $20,000 each, coming due at 30-day intervals.22Settled a product liability lawsuit with a customer for $40,000, payable in January. Accrued the loss in a litigation claims payable account.31Paid the amount due to Greenwood Co. on the first note in the series issued on December 1.Required:1.Journalize the transactions. Refer to the Chart of Accounts for exact wording of account titles. Assume a 360-day year.2.Journalize the adjusting entry for each of the following accrued expenses at the end of the current year (refer to the Chart of Accounts for exact wording of account titles):a. Product warranty cost, $65,000.b. Interest on the nine remaining notes owed to Greenwood Co. Assume a 360-day year. Reescribe cada oracin utilizando los signos de puntuacin necesarios. Recuerda escribir letra mayscula donde corresponda. despus del examen salimos juntos a almorzar 2^x+2=4081Solve the following exponential equation I need help with these questions. Thanks! Which phrase from the first stanza of "The Raven" creates the most suspense by making a question appear in the minds of the speaker and reader? Once upon a midnight dreary, while I pondered, weak and weary While I nodded, nearly napping suddenly there came a tapping. What does Paul mean when he tells the people at home this is really the only thing: just to sit quietly, like this (168)?Paul means that he believes peace and safety are valuablePaul means that he believes strength, courage, and resourcefulness are valuable.Paul means that he believes stability, kindness, and happiness are valuable.Paul means that he believes family, friends, and country are valuable. Ufbufbioaerubvfbiahffbbeaifhfia help me the difference of 3 times a number and 2 times that same number is 80.what is the number Factor x3 7x2 5x + 35 by grouping. What is the resulting expression? How can a person of one occupations respect others of different occupations ? HELP PLEASEE!!!In Asha's science experiment, her bacteria are dying at a constant rate of $600$ an hour. If she drew a graph of the number of bacteria in her culture where $x$ represented the time in minutes since the start of the experiment and $y$ represented the number of bacteria remaining in the colony, her graph would be a line. What would be the slope of this line? BIBLE QUESTIONThe following outline could be used for the book of 1. Philippians2. Galatians3. Ephesians I. Joy in livingII. Joy in serviceIII. Joy in fellowshipIV. Joy in rewards what would be the independent, dependent, and control variable to how coral dies? (100 points) What is diversification?A. Deciding how much money to allocate to each asset type B. Eliminating the risk of making investments C. Choosing assets with regard only to return and not to risk D. Choosing the percentage or distribution of investments to make within each asset type g(x) = 3x + 1, evaluate g(-2). what allows you to bend ur knees? Bank deposits are insured up to a certain amount by the What is 48,956 rounded to the nearest ten thousand?