The point-slope form of the equation of the line that passes through (-9,-2) and (1, 3) is y-3 = 1/2(x-1). What is the slope-intercept form of the equation for this line?
O y=1/2x+ 2
O y=1/2x-4
O y=1/2x+5/2
O y = 1/2 x - 7/2

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.

The architect's side view drawing of a saltbox-style house shows a post that supports the roof ridge. the support post is 8 ft tall. the distance from the front of the house to the support post is less than the distance from the post to the back of the house. how far from the front of the house is the support post positioned?

Ithink i know it but i want to be sure so can you me out ?