A line has a slope of 5 and passes through the point (-1,2).


Write the equation in point-slope form.


Write the equation in slope-intercept form.

Answers

Answer 1

Answer:

Step-by-step explanation:

slope=m= 5

points=(-1,2)

By point-slope form:

[tex]y[/tex]-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])

Substitute the values in formula:

y-2=5(x+1)        (It is the point slope form)

Now,

Slope intercept form:

y-2=5x+5

y=5x+5+2

y=5x+7

If you need to ask any questions, please let me know.

Related Questions

Please help. I need to get this right.

Answers

Answer:

∡SYZ = 34.2°

∡XYZ = 68.4°

Step-by-step explanation:

∡SYZ = 34.2°  this must be true because this angle is congruent to ∡XYS

∡XYZ = 68.4°  this must be true because ∡XYZ = ∡WYS + ∡SYZ

g(t) = (t-10) (t+1)
1) What are the zeros of the function?

Answers

Step-by-step explanation:

Write properties of function:

x intercept/zero: ; T1= -1 and T2=10

vertex form: g(t)=  (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

Explanation Write properties of function: Write properties of function:

x intercept/zero: ; t1=-1, and t2=10

vertex form: (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

hope this helped

❤️WILL REPORT BOTS❤️

Describe function transformations KT8
What kind of transformation converts the graph of
f(x) = 3x - 9
into the graph
of g(x) =-3x - 9?

Answers

Answer:

The answer is reflection on the y-axis

Step-by-step explanation:

Reflection on the x-axis will change the y-intercept

Horizontal shrink will change the slope but not to the point of making the 3 negative

Horizontal stretch is the same concept

Thus Reflection on the y-axis on the y-axisis the answer

Hope this helps!

Reflecting across the y axis

Solve the equation x=√(2x-4)+2. Show, explain, and check your work.

Answers

Answer:

x = 2, 4

Step-by-step explanation:

Hi there!

x=√(2x-4)+2

Move 2 to the left:

x-2 = √(2x-4)

Square both sides:

x²-4x+4 = 2x-4

Combine like terms:

x²-6x+8 = 0

Factor:

(x-2)(x-4) = 0

Therefore, x = 2, 4.

I hope this helps!

How to find the distance between two points.

Answers

Answer:

you take your small number and multiply it by the big number

Step-by-step explanation:

A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (approximate to the nearest hundredth foot. ) 8. 86 feet 8. 87 feet 8. 88 feet 8. 89 feet.

Answers

Answer:

8.89 feet

Step-by-step explanation:

[tex]\sqrt{79}[/tex] = 8.888, rounded to nearest hundredth would be 8.89

Someone help please?

Answers

Answer:21.9FM

Step-by-step explanation:

Thinking about the function of the flower organ, what advantage does a flowering plant have over a nonflowering plant?.

Answers

Answer: The flowering plant grows fruit, while the nonflowering plant doesn't.

Step-by-step explanation: Brainliest please

Flowering plants have reproductive organs, which is an advantage over non-flowering plant.

What are flowering plants?

A plant that produces flowers, fruit, and seeds also called angiosperm.

Given that, advantage a flowering plant have over a non-flowering plant,

Flowering plants have a reproductive advantage over gymnosperms (non-flowering) because of different adaptations, such as having flowers that allow for pollination and fruit for seed dispersal.

Hence, flowering plants have reproductive organs, which is an advantage over non-flowering plant.

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for a brainlist pls answer
Find the intercepts of the given equation. To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

[tex]x=-2y+10[/tex]

Step-by-step explanation:

Step 1: Flip the equation.

Step 2: Add -5 to both sides.

Step 3: Divide both sides by (-1)/2.

Evaluate the expression when a=14 and b=6



−8ab= ?

Answers

Answer:

[tex] - 8ab \\ \\ - 8 \times 14 \times 6 \\ \\ = - 672[/tex]

Answer:

[tex] \\ \tt- 8ab[/tex]

[tex] \\ \tt = - 8 \times 14 \times 6[/tex]

[tex] \\ \tt= - 672[/tex]

Write a function g whose graph is a vertical stretch by a factor of 3 of the graph of f(x)=|x|-5. g(x)=

Answers

Answer:

See below

Step-by-step explanation:

A vertical stretch by a factor of 3 of the graph of f(x) will result in:

g(x) = 3 f(x)

This gives us:

g(x) = 3( |x| - 5) = 3|x| - 15

The function g(x) after a vertical stretch by a factor of 3 can be defined as follows:

g(x) = 3(|x| - 5)

To create a function g(x) that is a vertical stretch by a factor of 3 of the graph of f(x) = |x| - 5, you can simply multiply the entire function f(x) by 3.

This will stretch the graph vertically while maintaining the same shape.

Therefore, the function g(x) can be defined as follows:

g(x) = 3(|x| - 5)

This function takes the absolute value of x, subtracts 5, and then multiplies the result by 3, resulting in a vertical stretch of the graph of f(x).

The vertical stretch by a factor of 3 means that the y-coordinates of all points on the graph are multiplied by 3, making the graph taller compared to the original f(x) graph.

Hence the function g(x) after the vertical stretch is g(x) = 3(|x|-5).

Learn more about vertical stretch click;

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Solve for x

3-11x=-118

PLEASE HELP WHAT IS X

Answers

Answer:

11

Step-by-step explanation:

You would need to -3 on both sides to get:

-11x = -121.

To find x on it's own you would have to divide by -11 on both sides.

You would get a result of x = 11.

Hope this helps :)

.−3(4x + 3) + 4(6x + 1) = 43
What is the answer?

Answers

Answer:

43

Step-by-step explanation:

DO the math

m divided 6 when m=48

Answers

[tex]\dfrac m 6 = \dfrac{48}6 = \dfrac{ 8 \times 6}6 = 8[/tex]

50 points if you get this right

Answers

Answer:

"A plane does not extend infinitely"

Step-by-step explanation:

For a Brainlist please help me out
+ give accurate explanation

Answers

Answer:

A:Tina's. B: Gabby's

Step-by-step explanation:

Luckly the two people are using the same unit to measure both time (in weeks) and height (in inches), so no conversion needed.

At this point, let's start dealing with the questions.

A. They bought the plants at week 0.

For Tina, we calculate [tex]f(0) = 0+1.5 = 1.5[/tex]

For Gabby, we scout the table till we find week 0 and check the corrisponing value: it's (0; 1) Since 1 is smaller than 0, at start Tina plant was taller.

B. The easiest way would be to stare at Gabby's table for a bit, and notice that each increase is 2 more than the previous, and the progression starts at 1. We can write it as an equation as [tex]g(x) = 2x+1[/tex]. If you confront with Tina's growth, you can tell that Gabby's plant grows twice as fast - the slope is double. Else, you can see that even just after one week, Tina's plant will be 2.5 in tall, while Gabby's outgrew hers already. That's possible only if the plant is growing faster.

you are making a blueprint of your bedroom and you plan to use a scale factor of 1/8. The actual width of your room is 14 fret and the actual length of your room is 16 feet. Determine the length and width of your room in the blueprint.​

Answers

Answer:

1.75 feet in the blueprints for the width

2 feet in the blueprints for the length

Step-by-step explanation:

Like and give a 5-star rating

Please brainlest

During a recent rainstorm, 8 centimeters of rain fell in Dubaku's hometown, and 2.362, points, 36 centimeters of rain fell in Elliot's hometown. During the same storm, 15.1915, point, 19 centimeters of snow fell in Alperen's hometown.
How much more rain fell in Dubaku's town than in Elliot's town?
centimeters

Answers

Answer:

Hence, 5.64 centimeters of more rain fell in Dubaku's town than in Elliot's town.

Step-by-step explanation:

The amount of rain that fell in Dubaku's hometown is: 8 centimeters.

Amount of rain that fell in Elliot's hometown is: 2.36 centimeters.

We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:

Difference in rain= 8-2.36

Difference in rain= 5.64 centimeters.

A 20-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 6 feet from the base of the building. How high up the wall does the ladder reach?

Answers

Answer:

19.1 feet

Step-by-step explanation:

This forms a right triangle

use the pythagorean theorem

a^2 + b^2 = c^2

a^2 + 6^2 = 20^2

a^2 + 36 = 400

a^2 = 364

a = 19.0787840283

Rounded

19.1 feet

Five positive integers have
 a mode of 9,
 and a median of 7,
 and a mean of 6.
What is the greatest possible range of the five integers?

Answers

Answer:

5

Step-by-step explanation:

The mean is 6 and there are 5 intergers.

You'd multiply 5*6=30. That means that the sum is 30.

The values could be: 2 3 7 9 9

These values add up to 20

Have a mode of 9

Have a median of 7

Have a mean of 6

To find the range you would subtract 9 and 2. That gives you 5.

(i don't know if that's the greatest possible range. But 5 would be the range here)

a square has a diagonal length of 10 meters. How long is the side of the square?

Answers

Answer:

5 × √2 or 7,071067811865475

Step-by-step explanation:

the diagonal of a square splits the square into 2 right triangles. So we can use Pythagorean's theorem.

where c is the hypotenuse. So the diagonal is the hypotenuse here, and thus c = 10. Now, since we are dealing with a square, all the sides are the same length, so a = b. So we have:

a² + a² = c²

2a² = 100

a² = 50

a = √50

a = 5 × √2 or 7,071067811865475

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

Answer: 50

Step-by-step explanation  :<

Could you please help me
Thank you x

Answers

Answer:

25.5 divided by 100 =255.Then 255-50+60 =255-110=145 therefore x=145

you are welcome

regards

reedemk

Alex's dog weighed 54.89 pounds. The vet said he was overweight, so Alex put him on a diet. Now he weighs 49.75 pounds. How much weight did he lose? Round your answer
changes saved
to the nearest whole number
A 5.14 pounds

B 5 pounds

C 105 pounds

D 7 pounds


Answers

Answer:

5 pounds

Step-by-step explanation:

54.89 - 49.75 = 5.14

Then once that was rounded is turned to 5 pounds

Answer:  5.14 pounds, A

Step-by-step explanation:

54.89 - 49.75 = 5.14 pounds

Evaluate (25/36)^1/2
A 25/6
B 5/6
C 5/36
D 25/36

Answers

5/6 its doneeeeeeèeeeeee

what is the equation of the trend line in the scatter plot

Answers

Answer: y = -x + 8

When you replace x by 0, you obtain y = 8 and when you replace x by 6, you obtain 2. (the red dots on the graph)

Convert 0.092 into a fraction

Answers

Answer:23/250

Step-by-step explanation:

0.092=23/250

Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he
used 8 cups of flour, how many cups of water did he use?
2 2/3
4
5 1/3
12

Thank u SOOOOOOOOOO much if u helped me

Answers

Answer:

he used 5 1/3 everything else is to low or high

Charlie is making chocolate cake for his birthday party. He found a recipe that needs 2 cups of cocoa powder for every 3 cups of sugu. Al of his friends

are coming, so he uses 6 cups of cocoa powder in his cake,

How many cups of sugar should Charlie uso?

Answers

Step-by-step explanation:

the mix follows the ratio 2/3 (cups of cocoa to sugar).

2 × x = 6 cups

x = 6/2 = 3

so, the cocoa cups number is multiplied by the factor 3, and we need to multiply also the sugar cup number with the same factor to keep the ratio value unchanged :

so, we need 3×3 = 9 cups of sugar.

The circumference of a circle is increasing at a rate of pi over 2 m/h at a certain instant the circumference is 12 pi meters what is the rate of change of the area of the circle at that instant in square meters per hour

Answers

Answer: 3pi

Step-by-step explanation:

Guessed and it was right, sorry don’t have an explanation.

The rate of change of the area of the circle at that instant in square meters per hour will be 3π.

What is the rate of change?

The pace at which one quantity changes in relation to another is known as the rate of change function.

Given that the circumference of a circle is increasing at a rate of π / 2 m/h at a certain instant the circumference is 12 π meters.

The rate of change of circumference will be calculated as,

dc/dt = π/2

d (2πr)/ dt = π / 2

dr / dt = 1 / 4

The rate of change in the area,

A = πr²

dA / dt = ( 2πr )  dr / dt

dA/dt = 12π x ( 1 / 4)

dA/dt = 3π

Therefore, the rate of change of the area of the circle at that instant in square meters per hour will be 3π.

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How do you know if a situation represents
a proportional relationship?

Answers

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
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