How do you find the slope of the

Keenan Rhodes

Keenan Rhodes

Answered question

2022-04-09

How do you find the slope of the secant lines of f(x)=-3x+2 through the points: (-4, f(-4)) and (1, f(1))?

Answer & Explanation

Gonarsu2dw8

Gonarsu2dw8

Beginner2022-04-10Added 19 answers

Explanation:
Find the points' y-values by evaluating f(-4) and f(1):
f(-4)=-3(-4)+2=12+2=14
f(1)=-3(1)+2=-3+2=-1
The two points on the secant line are (-4, 14) and (1, -1)
The slope m can then be found using the slope equation:
m=yx=14(1)41=155=3
This should make sense, since f(x) is a line. The secant line, which passes through two points on f(x), will have to be the exact same as f(x) there's no other way a line can intercept two points.
Since the secant line is identical to f(x), we can tell that they will have the same slope, and the slope of f(x)=-3x+2 is -3.

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