Question

y - 6 = -4(x + 6)
click to select points on the graph.

Explanation:

Step1: Identify point from point-slope form

The equation $y - 6 = -4(x + 6)$ is in point-slope form $y-y_1=m(x-x_1)$, so one point is $(-6, 6)$.

Step2: Find a second point using slope

Slope $m=-4=\frac{-4}{1}$. From $(-6,6)$, add 1 to $x$ and subtract 4 from $y$:
$x=-6+1=-5$, $y=6-4=2$. So second point is $(-5, 2)$.

Step3: Verify with slope-intercept form (optional)

Rewrite equation to slope-intercept:
$y - 6 = -4x -24$
$y = -4x -18$
When $x=0$, $y=-18$ (off the graph), so use the two points above.

Answer:

Plot the points $(-6, 6)$ and $(-5, 2)$, then draw a straight line through them to graph $y - 6 = -4(x + 6)$.