Question

graph this line:
y - 4 = -3(x + 8)
click to select points on the graph.

Explanation:

Step1: Identify point from point-slope form

The equation $y - 4 = -3(x + 8)$ is in point-slope form $y-y_1=m(x-x_1)$, so one point is $(-8, 4)$.

Step2: Convert to slope-intercept form

Expand and isolate $y$:

$$\begin{align*} y - 4 &= -3x -24\\ y &= -3x -24 + 4\\ y &= -3x -20 \end{align*}$$

Step3: Find y-intercept

When $x=0$, $y=-3(0)-20=-20$ (not on the grid). Instead, use slope $m=-3=\frac{-3}{1}$: from $(-8,4)$, move 1 right, 3 down to get $(-7, 1)$; or 1 left, 3 up to get $(-9,7)$.

Answer:

Plot the points $(-8, 4)$ and $(-7, 1)$ (or $(-9, 7)$) and draw a straight line through them.