The line equation in slope-intercept form is,

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 4 for m, 4 for x, and 1 for y)

                                 (Multiply:

                  (Subtract 16 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 4 for m and –15 for b)

.

 The equation of the line that passes through the point (4, 1) and (3, –3) is

.