Question

question 8 of 15
graph the line.
$y = -2x$

Explanation:

Step1: Identify slope and intercept

The equation $y=-2x$ is in slope-intercept form $y=mx+b$, where $m=-2$ (slope) and $b=0$ (y-intercept).

Step2: Plot the y-intercept

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

Step3: Use slope to find another point

Slope $\frac{\Delta y}{\Delta x}=-2=\frac{-2}{1}$. From $(0,0)$, move 1 unit right and 2 units down to get $(1,-2)$; or move 1 unit left and 2 units up to get $(-1,2)$. Mark these points.

Step4: Draw the line

Connect the plotted points with a straight line that extends across the entire grid.

Answer:

The line $y=-2x$ passes through the origin $(0,0)$, $(1,-2)$, $(-1,2)$, and extends infinitely in both directions with a slope of -2.