Question

You have answered 0 out of 4 parts correctly. Let f(x)=x² + 8x (A) Find the slope of the secant line joining (−4,f(−4)) and (−3,f(−3)). Slope of secant line =

Answer 1

To find the slope of the secant line joining (-4, f(-4)) and (-3, f(-3)), we need to first find the y-coordinates of these points using the function f(x) = x² + 8x:

f(-4) = (-4)² + 8(-4) = 16 - 32 = -16

f(-3) = (-3)² + 8(-3) = 9 - 24 = -15

So the two points are (-4, -16) and (-3, -15). Now we can find the slope of the secant line using the formula:

slope = (change in y) / (change in x)

slope = (-15 - (-16)) / (-3 - (-4))

slope = (1) / (1)

slope = 1

Therefore, the slope of the secant line joining (-4, f(-4)) and (-3, f(-3)) is 1.