The function f(x) is shown in this graph.

The function g(x) = -2x - 5.

Compare the slopes and y-intercepts.

A. The slopes are different but the y-intercepts are the same.

B. Both the slopes and the y-intercepts are different.

C. The slopes are the same but the yintercepts are different.

D. Both the slopes and the y-intercepts are the same.

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MrRoyal MrRoyal · Answer 1 · 2022-04-22T13:39:22+02:00

The true statement about the functions f(x) and g(x) is (b) B. Both the slopes and the y-intercepts are different.

The function g(x) is given as:

g(x) = -2x - 5

A linear equation is represented as:

y = mx + b

Where m represents the slope, and b represents the y-intercept.

So, the slope of the function g(x) is -2 and the y-intercept is -5

For the function f(x), the slope is calculated using:

m =(y2 -y1)/(x2 - x1)

Using the points on the graph, we have:

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

Evaluate

m = 2

The line of the function f(x) cross the y-axis at (0,3);

So, its y-intercept is 3

Hence, both functions have different slopes and different y-intercepts

Read more about linear functions at:

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