20) $g(x) = \\frac{-x - 5}{3}$

Answer:

The graph of $g(x) = \frac{-x - 5}{3}$ is a straight line passing through the points $(-5, 0)$, $(-2, -1)$, and $(1, -2)$.

Explanation:

Step1: Rewrite the function in slope-intercept form

$$g(x) = -\frac{1}{3}x - \frac{5}{3}$$

Step2: Identify the y-intercept

$$y = -\frac{5}{3} \approx -1.67$$

Step3: Find the x-intercept by setting $g(x) = 0$

$$0 = \frac{-x - 5}{3} \implies x = -5$$

Step4: Calculate an additional integer coordinate point

$$g(1) = \frac{-1 - 5}{3} = \frac{-6}{3} = -2$$

Step5: Plot points and draw the line

Plot $(-5, 0)$ and $(1, -2)$, then connect with a line.