Write a linear equation in slope-intercept form with the given information.

passes through (6,3) and (14, - 5)

First find slope by finding change in y over change in x.

(-5-3) / (14-6)

-8/8

-1

Slope = - 1

Now plug in slope and one set of x and y values to find b (y intercept).

3 = - 1 (6) + b

3=-6+b

9=b

Final answer: y = - x+9