Exercise 65 Page 320

Equations in point-slope form follow a specific format. y- y_1= m(x- x_1) In this form, m is the slope of the line and ( x_1, y_1) is a point on the line. We are looking for a function with values f(- 2) = 0 and f(6) = - 4. This means that the linear function passes through two known points. (- 2, 0) and (6, - 4) To determine the slope of the line, we use the Slope Formula.

Now that we know the slope of the line is - 12, we can write the equation of the line in point-slope form. We can use either of the given points as (x_1,y_1) in our equation. Let's use ( - 2, 0).

We found a line y=- 12x-1, so the function we are asked for is f(x) = - 12x-1.