Question

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.

Answer 1

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

`m=(y_2-y_1)/(x_2-x_1)`

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

`m=(-2-4)/(-3-(-2))=(-6)/(-1)=6`

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

The correct choice is (C)