Question

graph this line:
$y + 2 = -\frac{1}{3}x$
click to select points on the graph.

Explanation:

Step1: Rewrite to slope-intercept form

Subtract 2 from both sides:
$y = -\frac{1}{3}x - 2$

Step2: Find y-intercept point

When $x=0$, solve for $y$:
$y = -\frac{1}{3}(0) - 2 = -2$
Point: $(0, -2)$

Step3: Find second point using slope

Slope $m=-\frac{1}{3}$, so from $(0,-2)$, move 3 right, 1 down:
$x=0+3=3$, $y=-2-1=-3$
Point: $(3, -3)$

Step4: Find third point (optional, for accuracy)

From $(0,-2)$, move 3 left, 1 up:
$x=0-3=-3$, $y=-2+1=-1$
Point: $(-3, -1)$

Answer:

Plot the points $(0, -2)$, $(3, -3)$, and $(-3, -1)$, then draw a straight line through them.