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 )

     =                  (Product of two same signs is positive)

     =                           (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)

Apply commutative proparty of addition: 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)

                               (simplify)

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

(1, –1) is .