Question

graph this line:
$y + 4 = -(x - 2)$
click to select points on the graph.

Explanation:

Step1: Rewrite to slope-intercept form

First, expand and isolate $y$:
$$y + 4 = -x + 2$$
$$y = -x + 2 - 4$$
$$y = -x - 2$$

Step2: Identify y-intercept

The y-intercept is when $x=0$:
$$y = -(0) - 2 = -2$$
So the point is $(0, -2)$.

Step3: Identify another point

Use slope $m=-1$ (rise/run = $-1/1$). From $(0,-2)$, move 1 right, 1 down:
$$x=0+1=1, \quad y=-2-1=-3$$
Or use $x=2$:
$$y = -(2) - 2 = -4$$
So the point is $(2, -4)$.

Step4: Identify x-intercept

The x-intercept is when $y=0$:
$$0 = -x - 2$$
$$x = -2$$
So the point is $(-2, 0)$.

Answer:

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