,

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

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

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

Simplify.

Simplify the numerator.

Multiply by .

Add and .

Simplify the denominator.

Multiply by .

Add and .

Substitute the value of into the slope-intercept form of the equation, .

Substitute the value of into the slope-intercept form of the equation, .

Substitute the value of into the slope-intercept form of the equation, .

Rewrite the equation as .

Simplify .

Multiply by .

Add and .

The values of the slope and y-intercept are and .

Find the Slope and Y-Intercept (0,-5) , (5,2)