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2. The points (-2,4) and (-3,-2) lie on the g(x). If g(x) is a linear function, which of the following statements is true? (A) (B) (C) (D) The slope of g(x) is 6 and g(x) is decreasing. The slope of g(x) is - and g(x) is increasing. g)g) . The slope of g(x) is 6 and g(x) is increasing. The slope of g(x) is and g(x) is increasing.

2. The points (-2,4) and (-3,-2) lie on the g(x). If g(x) is a linear function, which of the following statements is true? (A) (B) (C) (D) The slope of g(x) is class=

Answer :

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computing as follows:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Given that the points (-2,4) and (-3,-2) lie on the g(x), then its slope is:

[tex]m=\frac{-2-4}{-3-(-2)}=\frac{-6}{-1}=6[/tex]

Given that the slope is positive, then g(x) is increasing.

The correct choice is (C)

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