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 )

                        (Subtract: )

                        (Add: )

                             (Simplify)

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, -1 for x, and 3 for y)

                                (Product of two same signs is positive)

               (Subtract from each side)

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

                                (Additive inverse proparty: )

                                            (Subtract: )

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 (–1, 3) and (2, –0.5) is .