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

is the y-intercept.

First find the slope

m = 

    =                     (Substitute )

    =                            (Product of two same signs is positive)

    =                                (Add: )

    =                                  (Additive identity property:  )

    = 2                                        (Divide:  )

Next find the y-intercept

Substitute the slope and the coordinates of the given point in slope-intercept form

line equation.

y = mx + b

                     (Substitute 2 for m, –2 for x, and 8 for y)

                           (Multiply: )

               (Add 4 to each side)

               (Commutative property of addition: a + b = b + a)

                               (Additive inverse property: )

b =12                                    (Add: 8 + 4 = 12)

Finally write the equation of the line

Substitute the values of slope ‘m’ and y-intercept ‘b’ in slope intercept form

y = mx + b

                       (Substitute 2 for m and 12 for b)

                           (Simplify)

The equation of the line that passes through the point (–2, 8) and (–6, 0) is

.