Question

$y + 1 = -\frac{1}{5}(x + 8)$
click to select points on the graph.

Explanation:

Step1: Identify point from equation

The equation is in point-slope form $y - y_1 = m(x - x_1)$, so one point is $(-8, -1)$.

Step2: Find second point using slope

Slope $m = -\frac{1}{5}$. From $(-8, -1)$, add 5 to $x$ and subtract 1 from $y$: $(-8+5, -1-1)=(-3, -2)$.

Step3: Find third point (optional, for accuracy)

From $(-3, -2)$, add 5 to $x$ and subtract 1 from $y$: $(-3+5, -2-1)=(2, -3)$.

Answer:

The line passes through the points $(-8, -1)$, $(-3, -2)$, and $(2, -3)$ (plot these points and draw a straight line through them to graph the equation).