Exercise 67 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(3) = - 1 and f(- 4) = - 15. This means that the linear function passes through two known points. (3, - 1) and (- 4, - 15) To determine the slope of the line, we use the Slope Formula.

Now that we know the slope of the line is 2, 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 ( 3, - 1).

We found a line y = 2x - 7, so the function we are asked for is f(x) = 2x - 7.