Write the equation of the line that passes through the points (1, -6) and (8, 9). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer 1

Answer:

[tex]y-9 = \frac{15}{7} (x-8)[/tex]

Step-by-step explanation:

Point-slope form is represented by [tex]y-y_1 = m (x-x_1)[/tex]. To write an equation with it, we need the slope of the line and a point the line crosses through. We already have at least one point the line crosses through, so let's figure out the slope.

To find the slope, use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line crosses, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line crosses. So, using the x and y values of (1, -6) and (8, 9), substitute them into the formula and solve:

[tex]\frac{(9)-(-6)}{(8)-(1)} \\= \frac{9+6}{8-1} \\= \frac{15}{7}[/tex]

Thus, the slope is [tex]\frac{15}{7}[/tex].

2) Now, using the point-slope form of  [tex]y-y_1 = m (x-x_1)[/tex],  substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values in order to write an equation in point-slope form. The [tex]m[/tex] represents the slope, so substitute [tex]\frac{15}{7}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line. So, choose any one of the points given - either one is fine - and substitute its x and y values for [tex]x_1[/tex] and [tex]y_1[/tex]. (I chose (8,9)). This gives the following equation and answer:

[tex]y-9 = \frac{15}{7} (x-8)[/tex]


Related Questions

PLS I NEED HELP ASAP I DONT HAVE TIME IT ALSO DETECTS IF IT RIGHT OR WRONG.

Answers

Answer:

D = 272 ft

Step-by-step explanation:  hope this helps. pls mark me brainliest

A group of 4 friends bought movie tickets. Each person also bought a large popcorn for $7.50. If they spent a total of $72, how much was each movie ticket (t)?

Answers

Answer:

$16.125 but i don't know if you have to round

Step-by-step explanation:

Cada uno de los amigos pagaron 10.50 por los ticket

The taxi costs 2.25 for the first mile plus 15 cents for each additional tenth of a mile. For a 5.2- mile trip eric paid 10 and told the driver to keep the change as a trip how much was the drivers tip

Answers

Answer:

$1.45

Step-by-step explanation:

The computation of the driver tip is shown below:

= 2.25 + 1.5 + 1.5 + 1.5 + 1.5 + 0.3

= $8.55

And, the amount given to driver is 10

So, the driver tip is

= $10 - $8.55

= $1.45

How do o solve this

Answers

Answer:

Step-by-step explanation:

Im not sure if u need to use shapes, but I will since it says in the example

4x - put it in a square box

2x - also in a square box

3 - in a circle box

1 - in a circle box

combine like terms

4x+2x=6x

3+1=4

6x+4

Based on this picture, if ∠3 = 50˚then what is m∠8?
SHOW WORK PLEASE

Answers

The answer is that measure of angle eight is 130°

name the missing numerator. ?/9 = 36/81

Answers

The answer is 4

I hope this helps :)

Answer:

the missing number is 6

Step-by-step explanation:

because is you do 6/9 and multiply it by it self it

equals 36/81

(9x9) and (6x6)

can you help me with my homework​

Answers

ුැේෞඈචොමටඉපගපයිිඅඅේෛෛඑටමවවඈ

Plz someone help me on this question

Answers

Answer:

(2,3)

Step-by-step explanation:

Answer:

(2,3)

Step-by-step explanation:

Once again the answer to the equations is where the two lines intersect and they intersect at (2,3)

Classify the expression: 5x3+2x-3
Quadratic expression
Linear expression
Cubic expression
Exponential expression

Answers

Considering that it's highest exponent is of 3, the expression 5x³ + 2x - 3 is a cubic expression.

What is the degree of a polynomial?

The degree of a polynomial is given by the highest exponent.

The highest exponent of the expression 5x³ + 2x - 3 is a 3, hence it is a cubic expression.

More can be learned about the degree of a polynomial at https://brainly.com/question/24380382

#SPJ1

Answer:  C: cubic expression

Step-by-step explanation:

Classify the expression: 5x³ + 2x − 3

we know that

Polynomials can be classified two different ways - by the number of terms and by their degree.

so

a) By the number of terms is a trinomial, because has three terms

b) By their degree The degree of the polynomial is found by looking at the term with the highest exponent on its variable

The highest exponent is 3 so this is a 3rd degree trinomial  

therefore

Is a cubic expression

Kevin cuts a foam block along the red line. When he looks at the newly
exposed face, what is the shape of the cross-section?
4 cm
7 cm
5 cm
A. A rectangle, 4 cm by 7 cm
B. A rectangle, 4 cm by 5 cm
C. A square, 4 cm by 4 cm
D. A rectangle, 5 cm by 7 cm

Answers

Answer:

I think B

Step-by-step explanation:

It's not a square when you cut it since after you cut one side the length would by 4cm by 5cm so there for it's not a square but a rectangle

sorry if it's wrong

The difference of a number c and 17 is more than 33.

Answers

Answer:

c-17=x>33

c=51

Step-by-step explanation:

The value of number c should be greater than 50.

It is given that difference of a number c and 17 is more than 33.

We have to find out the value of number c.

What do you mean by algebraic expressions ?

The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.

As per the question ;

The difference of c and 17 is more than 33.

i.e.,

difference of c and 17 meant ; 17 should be subtracted from c and this is greater than 33.

i.e.,

c - 17 > 33

c > 33 + 17

c > 50

Thus , the value of number c should be greater than 50.

To learn more about algebraic expressions click here ;

https://brainly.ph/question/20786412

#SPJ2

9. A garden has two circles. 1 big circle with sunflowers. 1 smaller circle with a radius of 6yd. Distance between the outside of the smaller circle to the end
of the bigger circle is 3yd. Find the area of the sunflower part of the garden.

Answers

Answer:

the answer would be 25

Step-by-step explanation:

since if you add all the following numbers up you make 11 and to taht you double the answer and that would give you 22 and then you add the remaining IP to make 25b

GIVE BRAINLEIST
A gift store owner used 9 rolls of wrapping paper to wrap his customers’ gifts last week. Each roll was 66 1/2 in. long. How many gifts did he wrap if a 9 1/2 in. long piece of wrapping paper was used to wrap each gift?

Answers

Answer:

7

Step-by-step explanation:

divide 66.5 by 9.5


Select the statement that best describes the line.
Quality

Answers

Answer:

2.

Step-by-step explanation:

The line of best fit is a line through scatter plot of data points that best expresses the relationship between those points.

(hope this helps :P)

2:)))))))))))))) maybe

Estimate. Show your work. Cam buys 3 CDs for $26.77. If each CD costs the same amount, about how much does each CD cost?

Answers

Answer:

$8.92

Step-by-step explanation:

26.77/3 ≈ 8.92

$8.92
Is your answer.

say random sentences which make no sense!
ill go
pls stop flying over my barn with you toothbrush I hate when the cows bark
pls say sum nd dont be lame

Answers

brush my mommy’s teeth with old caterpillar beans

Answer:

the home is located on a quiet street and is a boy with an enormous advantage in a small area

Please help for a grade!?

Answers

Answer:

8.9

Step-by-step explanation:

HELLPP ASAP THERES A TIMER​

Answers

The answer is 11 , 11+11=22

In the diagram Shown a 2-foot wide flower border surrounds the heart-shaped pond. What is the area of the border?

!!PLEASE HELP!!

Answers

Answer:

Step-by-step explanation:

Area of square = 144 sq ft

Area of circle = πr² = 36π sq ft

Total area = (144+36π) sq ft

Square section of pond is 10 ft by 10 ft, area = 100 sq ft

Circular area of pond has diameter of 8 ft.

Area = πr² = 16π sq ft

Area of pond = (100+16π) sq ft

Area of border = (144+36π)-(100+16π) = (44+20π) sq ft

Solve the following system of equations.
2x + 5y = -18 and y = -4x

Answers

Answer:

x=1 and y= -4

Step-by-step explanation:

step one: plug -4x into y in thi]e first equation.

2x+5(-4)= -18

step two: solve for x

2x-20= -18

(add 20 to both sides to eliminate -20 on the right)

2x=2

(divide both sides by 2 to get x by its self)

x=1

step 3: now that we found the value for x plug it in to either equation and solve for y

y= -4x

y= -4(1)

y= -4

What equation is equivalent to 2(3-y)


A. 2y - 6
B. 6 - 2y
C. 6 + y
D. 6 + 2y

Answers

Answer:

The answer is C.6+y

............

HALP!!! DON'T MIND MY TABS BTW!! JUST NEED HELP!!! SUPER eAsY!!

Answers

Answer: cv

Step-by-step explanation:

5.
130°
X
Using the image above, find the value of Lx.
A 200

Answers

Answer:

C) 50 degrees

Step-by-step explanation:

angles x and 130 degrees are supplementary in that they add up to 180 degrees.

x + 180 - 130 = 50 degrees

What is the best word to describe the probability that the spinner will stop on 1? justify your reasoning.
A certain
B unlikely
C impossible
D likely
*the clock ranges numbers form 1 - 6*

Answers

Answer:

it is b

Step-by-step explanation:

You can buy 2 tickets to school carnival for $9 total.
How many tickets can you buy for $27?

Answers

Answer:

6

Step-by-step explanation:

pls brainliest

9/2=4.5

27/4.5=6

What is Lcm of 30 and 40

Answers

Answer:

10

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

30 = 2 x 3 x 5

40 = [tex]2^{3}[/tex]      × 5

-----------------------------

LCM = 2³x3x5

=120

There are 40 working hours in a week and 52 weeks a year. How much does Nate need to make an hour to stay out of debt if it costs him $900 to live each month?

Answers

Answer: $5.19

Step-by-step explanation:

If there are 40 working hours in a week and 52 weeks in a year, 40 * 52 should be the amount of working hours in a year.

40 * 52 = 2080 working hours

Nate needs $900 to live each month and there are 12 months in a year, so $900 * 12 would equal how much he spends per year.

$900 * 12 = $10800

Divide $10800 by 2080 working hours to get how much he needs to make per working hour.

10800/2080 = approximately 5.19, rounded down from the nearest hundredth

He needs to make $5.19 per hour, so the answer is the last option.

The correct answer is 5.19


In a bag of sweets, 6 are orange and 9 are lime. Jodi chooses a sweet at random, eats it an
then chooses a second sweet at random.
What is the probability that both sweets are the same flavour?
(3 Points)

Answers

Answer:[tex]\frac{17}{35}[/tex]

Step-by-step explanation:

Given

The bag contains 6 orange and 9 lime sweets

For both sweets of the same flavor, Jodi must either choose orange or lime

No. of ways it can be done is [tex]^6C_1\times^5C_1+^9C_1\times^8C_1[/tex]

The total no of ways of selecting two sweets out of 15 is [tex]^{15}C_1\times^{14}C_1[/tex]

The probability that both sweets are the same flavor

[tex]P=\dfrac{^6C_1\times^5C_1+^9C_1\times^8C_1}{^{15}C_1\times^{14}C_1}=\frac{102}{210}=\frac{51}{105}=\frac{17}{35}[/tex]

- 4y = - 40
please show work if you can

Answers

Y = 10
-4 * 10 = 40

Hope this helps!!!:):):)

sakura bought 72 insches length of fabric for her ninja uniform.the total cost of the fabric is php 285.00 how do you think is the cost of the fabric per centimeter​

Answers

Answer:

php 3.96

Step-by-step explanation:

If it costs 285.00 per 72 inches, the divide 285.00 by 72 to get per inches. 285.00 divided by 72 = 3.9583. Round 3.9583 to the hundreths place and you get 3.96.

(hope this helps...and why is this question related to naruto??))

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