Find the equation of a line that contains the points (4,−1) and (−1,−4). Write the equation in slope-intercept form, using fractions when required.

Answers

Answer 1

Answer:

y = 3/5x - 17/5

Step-by-step explanation:

slope formula: (y₂ - y₁) / (x₂ - x₁)

First, plug in these values of the two given points.

(-4 - (-1)) / (-1 - 4)

Simplify within the parentheses.

(-4 + 1) / (-1 - 4)

(-3) / (-5)

3/5

This is your slope. Plug this into a standard slope-intercept equation: y = mx + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = 3/5(-1) + b

Multiply.

-4 = -3/5 + b

Add 3/5 to both sides. -- To add it easier, convert 4 to a have a denominator of 5.

-20/5 = -3/5 + b

-20/5 + 3/5 = b

-17/5 = b

Now, plug this into your standard equation.

y = 3/5x - 17/5

Check this equation by plugging in the other point you did not use (4, -1)

-1 = 3/5(4) - 17/5

-1 = 12/5 - 17/5

-1 = -5/5

-1 = -1

Your answer is correct!

Hope this helps!


Related Questions

X/2+1=6 i need help please

Answers

Answer:

x = 10

Step-by-step explanation: 10/2 = 5 + 1 = 6

(X/2) +1 = 6
X/2 =6-1=5
X =5*2 = 10

3x-38=28 solve for X

Answers

Answer:

Answer:22

Step-by-step explanation:

Answer:

x=22

Step-by-step explanation:

add 38 to both sides

you'll have 3x=66 after adding

then divide both sides by three so have x by itself and you'll get

x=22

What type of solutions to quadratic equations can be solved by factoring and using the zero product property?

Answers

Answer:

The Zero Product Property states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0. When the product of factors equals zero, one or more of the factors must also equal zero. Once the polynomial is factored, set each factor equal to zero and solve them separately.

Step-by-step explanation:

hope this helps

please help me asappppppppp i will give a brainlest

Answers

Answer:

No, she is wrong. Look at the coordinates on function A. They don't match up.

A container of water holds 128 fluid ounces. Tyler drinks 4 fluid ounces of water every hour. How many fluid ounces are in the container after 8 hours?

Answers

8 x 4 is 32... so, 128 - 32 = 96. There are 96 fluid ounces left in the container after 8 hours.

write the expression in repeated multiplication form then write the expression as a power ​

Answers

-8 * -8 * -8 * -8 * -8 * -8 * -8
(-8)^7

Evaluate -41-41.=
-8
08
16
-16

Answers

Answer:

are you sure those are all the options because it is -82

Step-by-step explanation:

The answer is -82 though.

Kelsey has 10 yards of ribbon. Each bow requires 3/8 yards of ribbon. How many bows can she make?

Answers

Answer:

she can make 26 bows

Step-by-step explanation:

She can make 26 bows

A man chooses a card at random from a pack of playing cards. What is the probability that the card is a diamond? Please simplify the answer to its lowest terms.

Answers

Answer: The odds of drawing a King or a heart are P(E)/P(E') = (4/13)/(9/13) = 4/9. What is the probability of getting at least one black card in a 7-card hand off a shuffled 52-card deck

Step-by-step explanation:

Use the distributive property to rewrite the algebraic expression below
9 (r+12)

Answers

Answer:

9r+108

Step-by-step explanation:

9 times r, 9 times 12.

9r+ 12 times 9 equals 9r+108

HELP WILL GIVE BRAINLIEST!! AND 75 POINTS

Answers

Answer:

4 equation 4

Step-by-step explanation:

did math in head

Answer:

Equation 4.

Step-by-step explanation:

2+6=8

2 times 2+4=8

3 times 2+2=8

5 times 2-4=6

The 6 is different.

plz helppppppppppppppppppppppppppppp!!!!

Answers

Answer: Exact Form: is

[tex] \frac{399}{40} [/tex]

Decimal form: 9.975 Mixed number form:

[tex]9 \frac{39}{40} [/tex]

There were some people on a train. 17 people get off the train at the first stop and 22 people get on the train. Now there are 66 people on the train. How many people were on the train to begin with?

Answers

The should be 61 hopefully......

Given the two points write the equation for the line in slope intercept
form!
(5,3) and (-1,5)

Answers

I think it is Y equals -1/3x +4.6
ANSWER: y=-1/3x+14/3
Comment below if you want an explanation on why!

If B =x²-7x + 4 and C=
x-9 find an expression that equals B+2C in stadard form.

Answers

Answer:

x²-5x-14

Step-by-step explanation:

(x²-7x+4)+2(x-9)

combine like terms and distribute

x²-7x+4+2x-18

x²-5x-14

How many minutes would it take a car traveling at a constant speed of 40 miles per hour to go 120 miles?​

Answers

Answer:

3 Hours = 180 Minutes

Step-by-step explanation:

Time=Distance/speed

X=120/40

X=3

60*3= 180

If 6×10‐n= 0.06, n>0, then n is

Answers

6 x 10 - 59.94 = 0.06

What is 10/5 as a percentage

Answers

Answer:

200%

Step-by-step explanation:

step

The answer is %50 because it is half

como convertir 0.8 horas asegundo​

Answers

1 hora es igual a 3600 segundos

Step-by-step explanation:

solo es multiplicar 0.8 x 3600= 2880

Answer:

2880 secons w

Step-by-step explanation:

multiply the time value by 3600

What is the y-intercept of 8y = -16x + 24

Answers

Answer:

Rearrange the equation8y=-16x+24 y=-2x+ 3 y- intercept: 3

.
Which of the following objects does not have three dimensions?
a cube
a line
a soda can
a house

Answers

Answer:

It's a line

Step-by-step explanation:

A line is not a three dimensional shape. I hope this helps :) also let me know if you got it right!

1
What is the relationship between Za and Zb?

A vertical agjes
B complementary andjes
C supplementary angjes
D none of the above

Answers

Answer:

B complementary andjes

Step-by-step explanation:

their sum is 90° so they're complementary

B complementary andjes

Classify each pair of angles as complementary, supplementary, or neither.

Drag and drop the choices into the boxes to correctly complete the table. Each pair of angles may belong to more than one category.


complementary supplementary neither

Answers

Answer:

neither; neither; supplementary

Step-by-step explanation:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.

First picture: 32° + 48° = 80°

80° < 90° and 80° < 180°

Therefore they are neither

Second picture: 101° + 77°  = 178°

178° > 90° and 178° < 180°

Therefore they are neither

Third picture: 107° + 73° = 180°

180° < 90° but 180° = 180°

Therefore they are supplementary

neither neither and supplementery cus i smrt

the product of two consecutive odd number is 143 find the number​

Answers

Step-by-step explanation:

It would be 11 x 13, because 11 x 13 = 143.

Check: 11 and 13 are both consecutive odd numbers.

Check: 11 x 13 = 143.

Answer:

11 x 13

Step-by-step explanation:

You just sort of have to tinker around! That will help you gauge the range of the answer and eventually find it!

Hope that helps!

Can you show work for 8.01/0.9

Answers

Answer:8.01/0.9=8.9

Step-by-step explanation:

What is the probability of spinning a odd number, flipping heads, then spinning a 3?

Answers

Answer:

Probability of spinning a odd number is 5/9

I don't know about flipping head

Probability of spinning a 3 is 1/9

Answer:   0

=========================================================

Explanation:

The sample space of the spinner is {1,2,3,4,5,6,7,8,9} which represents all the possible outcomes. We can only pick one of those values. Of that list, the subset {1,3,5,7,9} represents all the odd numbers. This is the event space because we want to land on an odd number.

There are 5 items in the event space and 9 items in the sample space. The probability of getting an odd number is 5/9.

The probability of flipping heads is 1/2 since we have one side we want (heads) out of two sides total.

Lastly, the probability of landing on a '3' is 1/9 because there's only one '3' out of 9 values total.

---------

We'll multiply those fractions to get the final answer. This works because each event is independent of one another.

(5/9)*(1/2)*(1/9) = (5*1*1)/(9*2*9) = 5/162

Now use your calculator to find that: 5/162 = 0.030864 approximately which rounds to 0.0 or just 0 when rounding to the nearest tenth.

Unfortunately this is one case where rounding will creates a misleading result. The true probability isn't 0 because the events described are possible. The probability is just really small.

I NEED HELP

Ann receives a 4% commission on her sales. Her last paycheck included $196 in commissions. Solve the formula C = 0.04s for s, where C is the amount of commission and s is the amount of sales. Then substitute to find her sales.



A.

$195.96



B.

$196.04



C.

$7.84



D.

$4,900

Answers

Your answer would be A:$195.96 would be your answer! Hope this helps

Answer:

D-$4,900

Step-by-step explanation:

Answer:

The answer is D. $4,900

Step-by-step explanation:

$196 in commissions  => a = 196

s = a / 0.04 = 196 / 0.04 = $4900 = Ann's sales

so the answer for Ann's sales is $4,900

Solve by factoring and the square root method, SHOW ALL WORK.

Answers

Answer:

Not sure

Step-by-step explanation:

does anyone know the area and the perimeter of this??​

Answers

Answer:

Area=15in²

Perimeter=16in

Step-by-step explanation:

area=L×W

Perimeter=L+L+W+W

Answer:

Your answer is

Area  =  ( 5 * 3) = 15 inch ^2

Perimeter = 2(5+3) = 16 inch

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

Match the vocab word with the correct definition.

1. slope-intercept form
parts of expressions and equations separated by operation symbols and/or equal signs
2. sequence
the steepness of a line; rise over run, change in y over the change in x
3. term
y = mx + b form of a linear equation where m is the slope of the line and b is its y-intercept
4. slope
a list of numbers
5. undefined slope
the slope of a vertical line because the change in the x-values, the denominator, is zero

Answers

Answer:

slope-intercept form:

y = mx + b form of a linear equation where m is the slope of the line and b is its y-intercept

sequence

a list of numbers

term:

parts of expressions and equations separated by operation symbols and/or equal signs

slope:

the steepness of a line; rise over run, change in y over the change in x

undefined slope

the slope of a vertical line because the change in the x-values, the denominator, is zero

Step-by-step explanation:

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