Question

graph the function $g(x) = -\frac{1}{5}x - 1$.

Explanation:

Step1: Identify slope-intercept form

The function $g(x) = -\frac{1}{5}x - 1$ is in $y = mx + b$ form, where $m = -\frac{1}{5}$ (slope) and $b = -1$ (y-intercept).

Step2: Plot y-intercept

The y-intercept is $(0, -1)$. Mark this point on the graph.

Step3: Use slope to find another point

Slope $m = \frac{\Delta y}{\Delta x} = -\frac{1}{5}$, meaning for $\Delta x = 5$, $\Delta y = -1$. From $(0, -1)$, move 5 units right and 1 unit down to get $(5, -2)$. Mark this point.

Step4: Draw the line

Connect $(0, -1)$ and $(5, -2)$ with a straight line extending through both points.

Answer:

A straight line passing through (0, -1) and (5, -2) on the given coordinate plane.