\ \

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: ) \ \

    =.                                     (Division of two same signs is positive)

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, 3 for x, and 2 for y)

                                (Multiply: )

                (Subtract from each side)

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

                                (Additive inverse proparty: )

Write the left side equation with common denominator.

                              (LCM is 5)             

                                      (Subtract: 10 – 6 = 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 point (3, 2) and (–2,0) is

.