Question

PLLLZ HELP HURRY The function (x) is shown in this graph. X) (0,3) 5 -5 The function g(x) = -2x-5. Compare the slopes and y-intercepts. A. Both the slopes and the y-intercepts are the same B. The slopes are different but the y-intercepts are the same. C. Both the slopes and the y-intercepts are different. D. The slopes are the same but the y-intercepts are different.​

Answer 1

The graph of f(x) is a straight line graph and the function g(x) = -2·x - 5 is a

linear function.

Comparing the slopes and y-intercept of the functions f(x) and g(x), gives;

D. The slopes are the same but he y-intercept are different.

Reasons:

Two points on the given graph of f(x),   (-1, 5), and (0, 3).

The slope, m, of f(x) is therefore;

• $m = \dfrac{3 - 5}{0 - (-1)} = -2$

The equation of f(x) is; f(x) - 3 = -2·(x - 0) = -2·x

∴ f(x) = -2·x + 3

The function g(x) = -2·x - 5

Therefore;

The slope of f(x), -2, and g(x), -2, are the same but the y-intercepts, 3, and

-5, are different.

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