Question

Below are two different function, f(x) and g(x). what can be determined about their slopes?

Answer 1

F(x) has a larger slope.

Explanation:

f(x) has a slope of 10 and g(x) has a slope of 9. The slope of f(x) can be found by dividing 800 by 80 (800 / 80 = 10). The slope of g(x) can be found by using the rate of change formula: y2 - y1 / x2 - x1. Choose two of the points from the chart. I'll use (2, -6) and (4, 12). Plug in the numbers so the equation would be 12-(-6) / 4-2. This simplifies to 18 / 2 which is 9.