(0,8) , (4,16)

Slope is equal to the change in y over the change in x, or rise over run.

m=change in ychange in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

m=y2-y1x2-x1

Substitute in the values of x and y into the equation to find the slope.

m=16-(8)4-(0)

Simplify.

Simplify the numerator.

Multiply -1 by 8.

m=16-84-(0)

Subtract 8 from 16.

m=84-(0)

m=84-(0)

Simplify the denominator.

Multiply -1 by 0.

m=84+0

Add 4 and 0.

m=84

m=84

Divide 8 by 4.

m=2

m=2

m=2

Substitute the value of m into the slope-intercept form of the equation, y=mx+b.

y=(2)⋅x+b

Substitute the value of x into the slope-intercept form of the equation, y=mx+b.

y=(2)⋅(0)+b

Substitute the value of y into the slope-intercept form of the equation, y=mx+b.

8=(2)⋅(0)+b

Rewrite the equation as (2)⋅(0)+b=8.

(2)⋅(0)+b=8

Simplify (2)⋅(0)+b.

Multiply 2 by 0.

0+b=8

Add 0 and b.

b=8

b=8

b=8

The values of the slope and y-intercept are m=2 and b=8.

m=2

b=8

Find the Slope and Y-Intercept (0,8) , (4,16)