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The linear function f(x) contains the points (-10, -29) and (-2, 83).

If g(x) = 19x - 25, which statement is true?
A.
The function f(x) has a positive slope, and the function g(x) has a negative slope.

B.
The functions f(x) and g(x) both have negative slopes.

C.
The function f(x) has a negative slope, and the function g(x) has a positive slope.

D.
The functions f(x) and g(x) both have positive slopes.



Answer :

The functions f(x) and g(x) both have positive slopes. Thus, option D is correct.

What is the slope of a line which passes through points ( p,q) and (x,y)?

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The linear function f(x) contains the points (-10, -29) and (-2, 83).

If g(x) = 19x - 25

Where the slope is m = 19

The slope of  linear function f(x)

n = 83 -(-29) / -2 -(-10)

n = 112/ 8

n = 14

Therefore, we can see that the functions f(x) and g(x) both have positive slopes.

Thus, option D is correct.

Learn more about slope here:

https://brainly.com/question/2503591

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