Question

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

Explanation:

Step1: Rewrite to slope-intercept form

First, expand and isolate $y$:
$$y - 4 = -x - 8$$
$$y = -x - 8 + 4$$
$$y = -x - 4$$

Step2: Find y-intercept

The y-intercept occurs at $x=0$:
$$y = -(0) - 4 = -4$$
So the point is $(0, -4)$.

Step3: Find x-intercept

The x-intercept occurs at $y=0$:
$$0 = -x - 4$$
$$x = -4$$
So the point is $(-4, 0)$.

Step4: Identify a third point

Use $x=2$:
$$y = -(2) - 4 = -6$$
So the point is $(2, -6)$.

Answer:

Plot the points $(0, -4)$, $(-4, 0)$, and $(2, -6)$, then draw a straight line through them to graph $y = -x - 4$ (equivalent to $y - 4 = -(x + 8)$).