(-8,1) , (-5,1)

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=1-(1)-5-(-8)

Simplify.

Simplify the numerator.

Multiply -1 by 1.

m=1-1-5-(-8)

Subtract 1 from 1.

m=0-5-(-8)

m=0-5-(-8)

Simplify the denominator.

Multiply -1 by -8.

m=0-5+8

Add -5 and 8.

m=03

m=03

Divide 0 by 3.

m=0

m=0

m=0

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

y=(0)⋅x+b

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

y=(0)⋅(-8)+b

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

1=(0)⋅(-8)+b

Rewrite the equation as (0)⋅(-8)+b=1.

(0)⋅(-8)+b=1

Simplify (0)⋅(-8)+b.

Multiply 0 by -8.

0+b=1

Add 0 and b.

b=1

b=1

b=1

The values of the slope and y-intercept are m=0 and b=1.

m=0

b=1

Find the Slope and Y-Intercept (-8,1) , (-5,1)