Plz help me out... thx

A line is graphed below. Write an equation in the form y = mx + b that represents this line

galben [10]

<h3>Explanation</h3>

Slope-Intercept form

$y = mx + b \\ m = slope \\ b = y - intercept$

Calculate the slope with two given coordinate by using rise over run.

$\begin{cases}(x_1,y_1) = ( - 4,0) \\ (x_2,y_2) = ( 0,2) \end{cases}$

These two coordinate points are part of the graph and can be used to find the slope.

$m = \frac{y_2 -y_1 }{x_2 - x_1}$

Substitute the coordinate points in the formula.

$m = \frac{2 - 0}{0 - ( - 4)} \\ m = \frac{2}{ 4} \\ m = \frac{1}{2}$

Therefore, the slope is 2.

Rewrite the equation in slope-intercept.

$y = \frac{1}{2} x + b$

Calculate the y-intercept by substituting any given points in new rewritten equation.

$(x,y) = ( 0,2)$

I will be substituting these coordinate points in the equation.

$y = \frac{1}{2} x + b$

Substitute x = 0 and y = 5 in the equation.

$2 = \frac{1}{2} (0) + b \\ 2 = 0 + b \\ 2 = b$

Therefore the y-intercept is (0,2).

Rewrite the equation.

$y = \frac{1}{2} x + 2$

<h3>Answer</h3>

 $\large \boxed{y = \frac{1}{2} x + 2}$ 

If you have any questions related to the answer, feel free to ask me via comment.

3 0

3 years ago

Giving 20 Brainly points pls solve

tresset_1 [31]

The volume of the cylinder is 254,571.43cm³.

The surface area of the cylinder is 22,628.57 cm².

<h3>What is the volume of the cylinder?</h3>

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder =πr²h

π = 22/7
r = radius = diameter / 2 = 60/2 = 30cm

22/7 x (30²) x 90 = 254,571.43cm³

Surface area = 2πrh + 2πr²

(2 x 22/7 x 30 x 90) + (2 x 22/7 x 30²)

16, 971.43 + 5657.14 = 22,628.57 cm²

To learn more about to determine the volume of a cylinder, check: brainly.com/question/9624219

#SPJ1

6 0

2 years ago

Find f(1) if. f(x)=x^3+2x^2-x-1

vivado [14]

Answer:

1

Step-by-step explanation:

f(x)=x^3+2x^2-x-1

f(1)=1^3+2(1)^2-1-1

f(1)=1+2*1-1-1

f(1)=1+2-1-1=3-1-1=2-1=1

4 0

3 years ago

I don’t think I wanna do this

Vedmedyk [2.9K]

$89.10 is the best guess.

7 0

3 years ago

Read 2 more answers

Compare the graphs f(x)=(x-10)^2+8 with the graph of f(x)=x^2

BlackZzzverrR [31]

Answer:

b. The graph of g(x) is a translation 10 units right and 8 units up from the graph of f(x).

Step-by-step explanation:

See attached image.

3 0

2 years ago