(4,5) , (8,-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-(5)8-(4)

Simplify.

Simplify the numerator.

Multiply -1 by 5.

m=-8-58-(4)

Subtract 5 from -8.

m=-138-(4)

m=-138-(4)

Simplify the denominator.

Multiply -1 by 4.

m=-138-4

Subtract 4 from 8.

m=-134

m=-134

Move the negative in front of the fraction.

m=-134

m=-134

m=-134

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

y=(-134)⋅x+b

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

y=(-134)⋅(4)+b

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

5=(-134)⋅(4)+b

Rewrite the equation as (-134)⋅(4)+b=5.

(-134)⋅(4)+b=5

Cancel the common factor of 4.

Move the leading negative in -134 into the numerator.

-134⋅4+b=5

Cancel the common factor.

-134⋅4+b=5

Rewrite the expression.

-13+b=5

-13+b=5

Move all terms not containing b to the right side of the equation.

Add 13 to both sides of the equation.

b=5+13

Add 5 and 13.

b=18

b=18

b=18

The values of the slope and y-intercept are m=-134 and b=18.

m=-134

b=18

Find the Slope and Y-Intercept (4,5) , (8,-8)