A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?

Answers

Answer 1

Answer:

[tex]y=\frac{-1}{3}x-4[/tex]

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Define

Point (9, -7)

Point (-6, -2)

Step 2: Find slope m

[tex]m=\frac{-2-(-7)}{-6-9}[/tex]

[tex]m=\frac{-2+7}{-15}[/tex]

[tex]m=\frac{5}{-15}[/tex]

[tex]m=\frac{-1}{3}[/tex]

[tex]y=\frac{-1}{3}x+b[/tex]

Step 3: Find y-intercept b

[tex]-7=\frac{-1}{3}(9)+b[/tex]

[tex]-7=-3+b[/tex]

[tex]-4=b[/tex]

Step 4: Write linear equation in slope-intercept form

[tex]y=\frac{-1}{3}x-4[/tex]


Related Questions

The total budget for a landscaping project was $349.02, and the project called for 42 plants. What is the average cost per plant? Explain the method used for solving the problem.

Answers

Answer:

349.02 / 42 = answer

Step-by-step explanation:

method used is dividing total cost by number of goods used gives the exact cost of each plant

What is 3/4 dived by 1/2

Answers

the answer to your question is 1.5

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex]

Since we are dividing by a fraction, we switch [tex]\frac{1}{2}[/tex] to it's reciprocal.

Doing that would make it [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{1}[/tex]. In other words, that is [tex]\frac{3}{4}[/tex] x [tex]2[/tex].

We can use cross multiplying to simplify/solve for it.

(Look at the image to see the cross multiplying).

Therefore, the answer is [tex]\frac{3}{2}[/tex].

8. A department store purchases a coat for $95 To sell the coat to customers, the price is increased by 27°. What is the new price of the coat? [A] $25.65 [B] $69.35 (C) $161 35 - [D] $12065​

Answers

Answer:D

Step-by-step explanation:

$120.65 is the new price of the coat.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

A department store purchases a coat for $95

To sell the coat to customers, the price is increased by 27%

So, the new price of the coat = $95+ $95*27%

                                                 =$120.65

Hence, $120.65 is the new price of the coat.

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A department store buys 200 shirts at a cost of $1,600 and sells them at a selling price of $10
each, Find the percent markup.

Answers

It would be 160% I think

John Henry took his sons to lunch and the total amount of the check was $42.80. He wants to leave a 20% tip. What will be the total amount he will spend? ​

Answers

Answer:

$42.80    check

   x.20     tip

 $8.56

Then add the the total check $42.80 +$8.56 = $51.36 John will spend

Step-by-step explanation:

to find the tip multiply the total by the tip

if 10%  x it by .10

if 16%  x it by .16

if 25 % x it by.25 and so on then add that to the total of the bill

Answer:

See below.

Step-by-step explanation:

Divide to turn the percentage into decimal form.

[tex]\frac{20}{100} =.20[/tex]

Multiply the percentage by the amount.

[tex]42.80*.20=8.56[/tex]

Add them together.

[tex]42.80+8.56=51.36[/tex]

Answer: [tex]51.36[/tex]

:)

(2x−6)+4(x−3) i need this answer

Answers

Answer:

(2x-6)+4(x-3)

2x-6+4x-12

6x-18

6(x-3)

2. You see a TV that is normally $350 is now on
sale for 45% off. How much of a discount will you
get to save?

Answers

You will save &140.00

Answer:

You will save $157.50

Step-by-step explanation:

Multiply 350 by 0.45

This gets you 45% of 350

At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard. Here is a system of equations that represent the constraints in the situation. x + y = 4.25 16.90x + 4y = 36.35 Find the solutions to the system of equations. Explain or show your reasoning

Answers

Given:

The system of equations that represent the constraints for the given situation is

[tex]x+y=4.25[/tex]

[tex]16.90x+4y=36.35[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]x+y=4.25[/tex]           ...(i)

[tex]16.90x+4y=36.35[/tex]           ...(ii)

Multiply equation (i) by 4.

[tex]4x+4y=17[/tex]           ...(iii)

Subtracting (iii) from (ii), we get

[tex]16.90x+4y-(4x+4y)=36.35-17[/tex]

[tex]16.90x+4y-4x-4y=19.35[/tex]

[tex]12.90x=19.35[/tex]

Divide both sides by 12.90.

[tex]x=\dfrac{19.35}{12.90}[/tex]

[tex]x=1.5[/tex]

Put this value in (i).

[tex]1.5+y=4.25[/tex]

[tex]y=4.25-1.5[/tex]

[tex]y=2.75[/tex]

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

Please I need some answers a few is fine

Answers

Answer:

a. 9 b.36 c. 100 d. 13689

If DKL =.PVX, which of the following statements must also be true? Check all that apply.
O ALKD XVP
O VPX= KDL
O VPX= DLK
OZDZP
DLPV

Answers

Answer:

First one, Second one, and fourth one

Step-by-step explanation:

PLEASE HELP PLEASE AND GIVE AN EXPLANATION FOR BRAINLIEST
The gas tank of your car was 1/3 full. At the gas station, you added another 2/5 tank of gas. If it takes 1/30 tank of gas to drive round trip to school, how many trips can you make with the gas in the car?

Answers

Answer:

Step-by-step explanation:

You need to find a common denominator for 2/5 and 1/3, which is 15. You multiply and you get 6/15 and 5/15. 5/15 + 6/15 is 11/15.

You also need to find a common denominator for 11/15 and 1/30. 11/15= 2/30, so you can make 2 trips with the gas in the car :)

PLEASE HELP ASAP DUE SOON

Answers

the answer is

C. neither

I really need help! I don't understand..

Thanks!​

Answers

8.30*14.50
Answer
123.25

Please help me idk this

Answers

Answer:

Step-by-step explanation:

SoOOoooooOOOOOooo . . . lemme explain how do use a stem and leaf plot

Basically, if you have a two-digit number, the first digit goes on the right side of that line and the second digit goes on the left side. BUT YOU HAVE TO MAKE SURE THE NUMBERS ARE IN CHRONOLOGICAL ORDER!!!

Also, like the doc said SINGLE DIGIT NUMBERS ARE TO BE WRITTEN LIKE THIS (example): 0|3, which would equal 3.

SO. Step number one: put the numbers in order from least to greatest.

Step number two: put them on the stem and leaf plot. THIS WOULD BE YOUR ANSWER:

0|2                  = 2

0|3                   =3

0|4             =4

0|5                  =5

0|9                =9

1|0                 =10

1|2                  =12

1|5                   =15

1|5           =15

1|8                   =18

2|0                   =20

2|2              =22

3|5                   =35

3|8                   =38

4|1            =41


Joe is making a recipe that calls for 4 teaspoon of cinnamon. His only measuring spoon only holds 8 teaspoon. How many times will he need to fill his
measuring spoon to get enough cinnamon for the recipe?

Answers

Answer:

1/2

Step-by-step explanation:

because he will need to fill the 8 teaspoon half way

At the beginning of the week, Tideland Manufacturing had an inventory of 60,000 screws. This week they received a shipment of 30,000 more screws. Then they used 50,000 screws to make their Tideland mowers. How many screws do they have left in inventory?​

Answers

Answer:

40,000

Step-by-step explanation:

You just add 60,000 and 30,000 which makes 90,000 and subtract it with the 50,000 then which equals to 40,000. you don't need to rate me.

77 is left over when a number x is decreased by 109.
Find x
What is happening here?
What is the opposite operation?
Check by substituting

Answers

Answer:

186

Step-by-step explanation:

77+109=186

186-109=77

x=186

Hope this helps!

186 :) Hope This Helps

plz help im biog help

Answers

Answer:

1.06 = 19.08

x = $5.75

The cost of the cat food is $5.75.

Step-by-step explanation:

Jeremy is saving up to buy a new video game system. Two weeks ago, Jeremy only had $14.75. He has worked for 26 hours at the local grocery store, where he earns $10.15 per hour. If the video game system costs $400.00, how many more hours must Jeremy work before he can purchase the system?

Answers

Answer:

12 more hours

Step-by-step explanation:

$400 is the cost (LESS) $14.75 that he has already

Total needed is now $385.25

He worked 26 hours at 10.15 = $263.90 that he already has

$385.25-$263.90 = $121.35

$121.35 Divided by his hourly wage of $10.15 = 11.95 (or 12 hours)

1 less than the quotient of a number n and 6

Answers

Answer:

(n/6) - 1

Step-by-step explanation:

Quotient means to divide so the Expression will be (n/6)- 1

What is the value of this sum 6372+5849?

Answers

6372+5849=12,221 is the answer on your qquestion

14= 17 - 9x. help please

Answers

Step-by-step explanation:

9x= 17 - 14

9x= 3

x= 3÷9

x= 1/3

Triangles A B C and X Y Z are shown. Angles B A C and Y X Z are congruent. The lengths of A B and Y X are both 28 centimeters and the lengths of A C and X Z are both 32 centimeters. Point A of triangle A B C pointing to the left. Point X of triangle X Y Z is pointing down. How can ΔABC be mapped to ΔXYZ? First, translate vertex A to vertex . Next, ΔABC to align the sides and angles.

Answers

Answer:

1. x

2. rotate

Answer:

the answer is X, and rotate

Step-by-step explanation:

Which set contains the value below?

50


A.irrational B.Natural C. rational D.Integers

Answers

Answer:

A or d

Step-by-step explanation:a or d

A or d

The set of natural numbers, rational numbers and integers contain 50. Therefore, options B, C and D are the correct answer.

We need to find which set contains the value 50.

What are real numbers?

Real numbers include rational numbers like positive and negative integers, fractions, and irrational numbers.

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers.

Here, 50 is not an irrational number.

Rational numbers: A rational number is any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero.

Here, 50=50/1 is a rational number.

Natural numbers: Natural numbers are the numbers that start from 1 and end at infinity.

So, 50 is a natural number.

Integers: An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

So, 50 is an integer.

The set of natural numbers, rational numbers and integers contain 50. Therefore, options B, C and D are the correct answer.

To learn more about the real numbers visit:

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1. Alexis went shopping for school supplies with $80 in his bank account. He bought a bunch of binders for $23, pens and pencils for $16, and a new backpack for $37. Did Alexis have enough money to purchase all these supplies? -​

Answers

Answer: So alexis had $80 And he bought a bunch of binders for $23 So If you do the math you will get: $57 But then he buys pens and pencils for $16 So:

$57 - $16 = $41 And then he buys a new backpack for $37. So : $41 - $37 = $4

So yes he had enough to buy all the stuff and still had a little bit leftover!

Hope this helps!

Step-by-step explanation:

how to do this question plz ​

Answers

She would buy 8 3-pack cartons and 2 singular cartons. You multiply the prices for each (.9x8 + 2(0.38)), she would spend $7.96.

2x+5y=10
Solve for y

Answers

2x+5y=10

Move constant to the left by adding its opposite to both sides

2x+5y-10=10-10

the sum of two opposites equals 0

Answer: 2x+5y-10=0

PLEASE MARK ME AS BRAINLIEST

1 quart to 1 gallon

Answers

4 quarts equal 1 gallon. 1 quart to 1 gallon is 0.25 of a gallon.

What’s the measure of angle X ?

Answers

Answer:

120

Step-by-step explanation:

The measure of X is 60

What is 2+2? I think the answer is 6 :)

Answers

Answer: wut yea i think it's six too.

The answer is 4 because look at this: ♥ ♥

That's 2 hearts

If you add 2 more:

♥ ♥ ♥ ♥

1  2  3  4 --> 4 hearts!

♥ ♥ + ♥ ♥ = ♥ ♥ ♥ ♥

So, 2 + 2 = 4.

Ok :

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