The line equation in slope-intercept form is , where m is the slope and b is the y-intercept.

First find the slope (m).

The slope formula is .

                   (Replace   with 5, –3, –2 and 0)

                       (Product of two same signs is positive)   

                            (Subtract: )

The slope of .

Next find the y-intercept (b).

                      (Substitute for m)

                (Substitute 5, –3 for x, y)

                   (Multiply: )

Apply addition property of equality: If a = b than a + c = b + c.

(Add to each side)

Apply commutative property of addition: a + b = b + a.

                          (Apply Additive inverse property: )

                                  (Add: )

Substitute for m and for b in the Slope-intercept form equation.

.

The equation in slope-intercept form is .