Write an equation in slope-intercept form of the line that passes through the points (-2, - 11) and (3,9).
The equation is y=

Answers

Answer 1

Answer:

y = 4x - 3

Step-by-step explanation:

(-2, -11) & (3, 9)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(9 - (-11)) / (3 - (-2))

Simplify the parentheses.

= (20) / (5)

Simplify the fraction.

20/5

= 4

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 4x + 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 (3, 9). Plug in the x and y values into the x and y of the standard equation.

9 = 4(3) + b

To find b, multiply the slope and the input of x(3)

9 = 12 + b

Now, subtract 12 from both sides to isolate b.

-3 = b

Plug this into your standard equation.

y = 4x - 3

This is your equation.

Check this by plugging in the other point you have not checked yet (-2, -11).

y = 4x - 3

-11 = 4(-2) -3

-11 = -8 - 3

-11 = -11

Your equation is correct.

Hope this helps!


Related Questions

answers:
a) 74
b) 108
c)49
d)51

Answers

Answer:

51

Step-by-step explanation:

sum of exterior angles = 360

64  + 60 + 69 + 42 + x + x +23 = 360

2x + 258 = 360

2x = 360 - 258

2x = 102

x = 51

Answer:

The person below me is correct

Step-by-step explanation:

In the triangle below,
y = [ ? ] cm. Round to the
nearest tenth.
15 cm
35
90°

Answers

Answer:

y ≈ 12.3

Step-by-step explanation:

Using the SOH CAH TOA identity to get the value of y as shown;

sin theta = opposite/hypotenuse

opposite = y

hypotenuse = 15cm

theta = 180-(35+90)

theta = 180-125

theta = 55 degrees

sin 55 = y/15

y = 15sin55

y = 12.287

y ≈ 12.3 (to the nearest tenth)

Fill in the missing numbers in these equations

(-2)⋅(-4.5)=?
(-8.7)⋅(-10)=?
(-7)⋅?=14
?⋅(-10)=90

Answers

Answer:

Step-by-step explanation:

(-2)*(-4.5)=9

(-8.7)*(-10)=87

-7x=14

x=14/-7=-2

?=-2

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

-10x=90

x=90/-10

x=-9

Amelia builds and sells birdhouses. The difference between the amount she sells each birdhouse for and the cost of supplies to build each birdhouse is $20. Amelia also spends $45 on tools to build birdhouses. Which equation can Amelia use to calculate the amount of money (m), in dollars, she earns from selling b birdhouses?

Answers

Answer:

[tex]m= 20b-45[/tex]

Step-by-step explanation:

Given data

The difference between the amount she sells each birdhouse for and the cost of supplies to build each birdhouse is $20

This means that her profit = $20

the number of birdhouses = b

cost of tools= $45

Hence the amount she earns from selling b houses is given as

[tex]m= 20b-45[/tex]

What would be the new value of a after running the program
var a= 3
var b=5
a=a*b

options
8
15
3
75​

Answers

Answer:

The answer is 15

Step-by-step explanation:

[tex]3 \times 5 = 15[/tex]

Solve for the unknown 7/G = 35/50

Answers

Answer:

g=10

Step-by-step explanation:

[tex]\frac{7}{g} =\frac{35}{50}\\[/tex]

We can cross multiply so that would be:

[tex]35g=50*7 \\35g=350 \\g=10[/tex]

Hope this helps and answers your question! Have a great day/night!

Answer:

g=10

Step-by-step explanation:

factor of 9x2 18x + 8?
Factor of 9x^2-18x+8

Answers

Answer:

(3x - 2)(3x - 4).

Step-by-step explanation:

9x^2-18x+8

Use the 'ac' method:

9 * 8 = 72.

We need 2 numbers whose product is + 72 and whose sum is -18

These are -12 and -6 so we rewrite the expression as:

9x^2 - 12x - 6x + 8       Now we factor by grouping:

= 3x(3x - 4) - 2(3x - 4)   The 3x - 4 is common so we have:

(3x - 2)(3x - 4).

The factor of the quadratic expression 9x² - 18x + 8 will be (3x - 2) and (3x - 2).

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The quadratic expression is given below.

⇒ 9x² - 18x + 8

Factorize the quadratic expression, then the factors are given as,

⇒ 9x² - 18x + 8

⇒ 9x² - (12 + 6)x + 8

⇒ 9x² - 12x - 6x + 8

⇒ 3x(3x - 4) -2(3x - 4)

⇒ (3x - 2)(3x - 4)

Then the factor of the quadratic expression 9x² - 18x + 8 will be (3x - 2) and (3x - 2).

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

Please help!! It is the last problem I need to do before I am free!! Thank you!!!

Answers

Answer:

94 + 41 + 69 + 156= 360

up: 156

down: 69

180-156 = x = 24

I think

{(–13, 4), (7, –15), (–13, 9), (6, –12), (–18, 0)} State whether each set of ordered pairs represents a function.

Answers

I don’t think it’s a function

Answer:

it is not a function

Step-by-step explanation:

if you can pass a vertical line through more than one point it is not a function, you have two points with the same x and different y

(-13,4) and (-13,9)

because you have two different y values for the same x it would fail the vertical line test and thus is not a function

A regular heptagon has sides measuring 26 mm and is divided into 7 congruent triangles. Each triangle has a height of 27 mm. What is the area of the heptagon?

Answers

Answer:

567 square mm

because 27*7 is 189 an times 3 because each side has 3 sides so it equals to 567 square mm! :)

Step-by-step explanation:

BRAINLIEST THAT BOOM!!!!!!!!!

Point A is located at (-1.4). Point B is located at (3,2). What is the slope of the line that passes through these two points (Make sure your slope is
reduced, if possible)?
6

Answers

Answer:

Y = -1/2x + 7/2

Step-by-step explanation:

slope = -1/2

y - 3x = 21
x - 5y = -35
solve by substitution(show steps please)

Answers

Answer:

x=-5 y=6

Step-by-step explanation:

y-3x=21

y-3x+3x=21+3x

y=3x+21

x-5y=-35

x-5(3x+21)=-35

x-15x-105=-35

-14x-105=-35

-14x-105+105=-35+105

-14x=70

x=-5

y-3(-5)=21

y+15=21

y+15-15=21-15

y= 6

Answer:

x=5

y=6

Step-by-step explanation:

That is the answer

Find the value of x.

x =

Enter the number that belongs in
the green box.

Please helppp

Answers

Answer:

x=67°

Step-by-step explanation:

Sum of all angles is 180°

36°+77°+x=180°

113°+x=180°

x=180°-113°

x=67°

Bro this is right answer plzzz mark me as brainliest★

Divide the following 42_2

Answers

The answer is 21.

42 ÷2 —> 21z

6-8 weeks i hope this help:)

Answers

Answer:

I have no idea but okay

A rectangular pyramid has a base that measures 8 inches by 10 inches, a height of 12 inches, and a slant height of 15 inches. Elena calculated the volume of the pyramid as shown.

Answers

Answer:

B) elena incorrectly used slant height instead of the height

Step-by-step explanation:

Problem: Prove that the quadrilateral defined by the points F(6,4), R(1,3), O(3,2), G(−2,1) is a parallelogram.
(Please explain!)

Answers

you can draw it on a graph like the one i did

then name the sides

and then measure them and make sure that parallel sides are equal

a must be = c and have same slope

and

b must be = d and have same slope

after doing that, you will know that this is a correct parallelogram

Which expression is equivalent to -2(x - 5) - 9x?
11x - 5

7x + 10

-11x - 5

-11x + 10

Answers

Answer:

-11x+10

Step-by-step explanation:

-2(x-5)-9x

Distribute:

-2x+10-9x

Combine like terms:

-11x+10

Hope this helps!

-2x + 10 - 9x

-11x + 10 is the answer

Rebecca ran 21 miles in 5 hours. If she ran at a constant speed, how many miles did she run in 2 hours? 8.4 miles 42 miles 4.2 miles 1.2 miles

Answers

Answer: 8.4 miles

Step-by-step explanation:

d = rt

Solve for her rate

21 = 5r

r = 21/5

r = 4.2

Solve for if the time is 2 hours and rate (solved previously) is 4.2

d = 4.2*2

d = 8.4

The distance traveled by Rebecca in 2 hours is given by d = 8.4 miles and the speed is S = 4.2 miles / hour

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total distance ran by Rebecca be D = 21 miles

The time taken by her to travel 21 miles T = 5 hours

So , the speed of Rebecca S = D / T

On simplifying , we get

S = 21/5

S = 4.2 miles per hour

Therefore , the speed of Rebecca is 4.2 miles / hour

Now , let the time taken be T₂ = 2 hours

So , the distance traveled in 2 hours , D = ST₂

D = 4.2 x 2

D = 8.4 miles

Hence , the distance traveled is 8.4 miles

To learn more about speed click :

https://brainly.com/question/19930939

#SPJ2

Classify the number 0 into as many categories as it belongs: Natural number, whole number, integer, or rational number.

Answers

Answer:

whole number, integer, rational number

Step-by-step explanation:

Natural Numbers to start at 1 and do not include zero.

Answer:

0.00, 0/10, zero, 0 stuff

Step-by-step explanation:

I think

A farmer sells 9.2 kilograms of pears and apples at the farmer's market.
3/4
of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Express your answer in fraction and decimal form.

Answers

Answer:

ddd

dStep-by-step explanation:

ddd

Find the value of x.

Answers

Answer:

x=27

Step-by-step explanation:

132 + 21 = 153

180 - 153 = 27

Answer:

The inside of a triangle always equals 180 and you have angles 132 and 21. In total it's 153. Subtract 180 - 153 and you get 27.

x = 27

Which inequality can this number line represent?

Answers

Answer:

B.

Step-by-step explanation:

math work pls help :)​

Answers

Answer:

i geuss SAS is the correct answer of the question

Find the equation for the inverse function.
j(x) = 4vx+ 5 – 6

Answers

Answer:

To find the inverse, interchange the variables and solve for y.

j−1(v)=v4x+14x

Step-by-step explanation:

The diagram shows part of a regular polygon.
The sides of this polygon subtend angles of 18° at the centre of the polygon.
How many sides does the polygon have?

The diagram is not drawn to scale.​

Answers

Answer:

Step-by-step explanation:

The sum of central angles must equal 360 degrees.

s=360/18

s=20

9x-7i>3(3x-7u)I need the answer please ​

Answers

Step-by-step explanation:

9x-7i<3(3x-7u)=

9x-7i<9x-21u=

-7i<-21u=

i<3u

Help! 1/6 of 2 yards is how many feet?

Answers

Answer:

1 foot

Step-by-step explanation:

1 yard = 3 ft

[tex]2*1 yard= 2*3feet[/tex]

2 yards = 6 feet

[tex]\frac{1}{6}[/tex] (2 yards) = [tex]\frac{1}{6}[/tex] (6 feet)

So, [tex]\frac{1}{6}[/tex] of 2 yards is 1 foot.

Jonah bought a gym membership for
$20 per month. He pays an additional
$4 each time he attends a mixed
martial arts class. He has spent $108
over the last four months.
How many mixed martial
arts classes has he
attended?

Answers

Answer:

7

Step-by-step explanation:

2 because 20 times 5=100
108-100 = 8
8 divide by 4 is 2


or you can do 108/24 = 4.5 so 4


either one , sorry

THE ANSWER IS NOT B
If you can’t see the picture plz zoom in.
The box plots show Theo's math scores and language arts scores.

About 50% of Theo's scores are in which range for each subject?
60 to 85 for math: 60 to 80 for language arts

55 to 90 for math: 50 to 90 for language arts

55 to 60 for math: 50 to 60 for language arts

85 to 90 for math 80 to 90 for language arts

Answers

maybe the answer is A- 60 to 85 for math: 60 to 80 for language arts

Answer:

B

Step-by-step explanation:

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