\ \

\

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: )

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)

                                  (Multiply: )

                  (Subtract from each side)

                      (Commutative proparty: 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 .