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 )

    =                           (Product of two same signs is positive)

    =                           (Add: 1 + 5 = 6)

    =                                (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 3 for m, 1 for x, and 4 for y)

                    (Multiply: )

                         (Divide: )

           (Add 4 to each side)

           (Apply Commutative property of addition: a + b = b + a)

                           (Additive inverse property:  )

                                (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 – 1 for b)

                      (Product of two different signs is negative)

The equation of the line that passes through the point (10, –5) and (–5,1) is

.