Question

The equation represents Function A, and the graph represents Function B:

Function A: f(x) = 6x - 1
Function B: (shown in pic)

Which equation best compares the slope 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

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 1 ← is in slope- intercept form

with slope m = 6

From the graph

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (1, 4) ← 2 points on the line

m =
`(4-1)/(1-0)` =
`(3)/(1)` = 3

Hence

Slope of function A = 2 × slope of function B → C