how does the slope of g(x) compare to the slope of f(x)?\nthe slope of g(x) is the opposite of the slope of…

Explanation:

Step1: Recall slope - formula

The slope formula for a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Estimate slopes visually

For a steeper line, the absolute - value of the slope is larger. The line $f(x)$ is steeper than the line $g(x)$. A steeper positive - sloped line has a larger slope value. Since both $f(x)$ and $g(x)$ have positive slopes, the slope of $g(x)$ is less than the slope of $f(x)$.

Answer:

The slope of $g(x)$ is less than the slope of $f(x)$.