Question

The equation below represents Function A and the graph represents Function B: Function A f(x) = 6x - 1 Function B graph of line going through ordered pairs 1, 4 and negative 1, negative 2 and negative 2, negative 5 Which equation best compares the slopes of the two functions?

A. Slope of Function B = 2 x Slope of Function A.
B. Slope of Function A = Slope of Function B
C. Slope of Function A = 2 x Slope of Function B
D. Slope of Function B = - Slope of Function A

Answer 1

C. Slope of Function A = 2 x Slope of Function B

Explanation:

The slope of function A is the x-coefficient: 6.

The slope of function B is ...

... slope = (change in y)/(change in x) = (-2-4)/(-1-1) = -6/-2 = 3

6 is 2 times 3, so ...

... the slope of Function A is 2 times the slope of Function B