Write an equation in point-slope form of the line
that passes through the given points.
14. (3. 1) and (-5, -2) 15. (1.5, 4) and (-2.5, 6

15 point ! ~ see if you know the answer to both you!

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

Can you me find the slope! (30 points)