(-1,0) , (0,8)

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=8-(0)0-(-1)

Simplify.

Simplify the numerator.

Multiply -1 by 0.

m=8+00-(-1)

Add 8 and 0.

m=80-(-1)

m=80-(-1)

Simplify the denominator.

Multiply -1 by -1.

m=80+1

Add 0 and 1.

m=81

m=81

Divide 8 by 1.

m=8

m=8

m=8

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

y=(8)⋅x+b

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

y=(8)⋅(-1)+b

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

0=(8)⋅(-1)+b

Rewrite the equation as (8)⋅(-1)+b=0.

(8)⋅(-1)+b=0

Multiply 8 by -1.

-8+b=0

Add 8 to both sides of the equation.

b=8

b=8

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

m=8

b=8

Find the Slope and Y-Intercept (-1,0) , (0,8)