Question

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

Explanation:

Step1: Rewrite in slope-intercept form

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

Step2: Find y-intercept (x=0)

$g(0) = -\frac{1}{3}(0) - \frac{5}{3} = -\frac{5}{3} \approx -1.67$

Step3: Find x-intercept (g(x)=0)

$0 = -\frac{1}{3}x - \frac{5}{3}$
$\frac{1}{3}x = -\frac{5}{3}$
$x = -5$

Step4: Plot points and draw line

Plot $(-5, 0)$ and $(0, -\frac{5}{3})$, then draw a straight line through them.

Answer:

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