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 $(x_1,y_1)=(-8, 4)$.

Step2: Convert to slope-intercept form

Expand and isolate $y$:
$y - 4 = -3x -24$
$y = -3x -24 + 4$
$y = -3x -20$

Step3: Find y-intercept

When $x=0$, substitute into $y=-3x-20$:
$y = -3(0) -20 = -20$
So a second point is $(0, -20)$.

Step4: Find a third point (optional)

When $x=-7$, substitute into $y=-3x-20$:
$y = -3(-7) -20 = 21 -20 = 1$
So a third point is $(-7, 1)$.

Answer:

Plot the points $(-8, 4)$, $(0, -20)$, and $(-7, 1)$, then draw a straight line through them to graph the line.