Question

graph the line.
$y=-3x$

Explanation:

Step1: Identify line form

The equation $y=-3x$ is in slope-intercept form $y=mx+b$, where $m=-3$ (slope) and $b=0$ (y-intercept).

Step2: Plot y-intercept

The y-intercept is $(0,0)$; mark this point on the grid.

Step3: Use slope for second point

Slope $m=\frac{\Delta y}{\Delta x}=\frac{-3}{1}$. From $(0,0)$, move 1 unit right and 3 units down to get $(1,-3)$; mark this point.

Step4: Draw the line

Connect $(0,0)$ and $(1,-3)$, then extend the line across the grid.

Answer:

The line $y=-3x$ passes through the origin $(0,0)$ and $(1,-3)$, extending infinitely in both directions with a slope of $-3$.