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

Explanation:

Step1: Identify the linear function

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

Step2: Find the y-intercept

Set $x = 0$: $$g(0) = -\frac{5}{3} \approx -1.67$$

Step3: Find the x-intercept

Set $g(x) = 0$: $$0 = -x - 5 \implies x = -5$$

Step4: Calculate another integer point

Set $x = 1$: $$g(1) = \frac{-1 - 5}{3} = -2$$

Step5: Plot points and draw line

Plot $(-5, 0)$ and $(1, -2)$ on the coordinate plane.

Answer:

The graph is a straight line passing through the points $(-5, 0)$ and $(1, -2)$.