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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 and )

    =

    =                                        (Add: )

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  for m, –2 for x, and –2 for y)

                            (Simplify)

            (Add on each side)

               (Commutative proparty: a + b = b + a)

                                       (Additive inverse proparty: )

Write the left side equation with common denominator.

.                                    (Add: – 6  + 2=– 4)

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  for m and for b)

.

 The equation of the line that passes through the points (–2, –2) and (1, –1) is

.