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: ) \ \

    =                                      (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  for m, 1 for x, and 0 for y)

                                (Multiply: )

                (Add on each side)

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

.                                        (Additive inverse proparty: )

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, 0) and (–3, 2) is

.