The line equation in slope-intercept form is ,

where m is the slope and b is the y-intercept.

First find the slope of the line.

                           (Substitute 5 for x₁, 1 for y₁, 8 for x₂ and –2 for y₂)

                                 (Subtract:)

                                   (Divide:)

Next find the y-intercept value by replacing m with –1, y with 1

and x with 5 in the equation .

                             (Produce of two different sign is negative)

                 (Add 5 to each side)

                                (Additive inverse property: )

                                     (Add:1 + 5 = 6)\\

Replace m with –1 and b with –10 in the slope-intercept form line

equation .

                             (Simplify)

The slope-intercept form of the line equation is .