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)

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

                                 (Apply 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)

                                (Simplify)

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

.