Question

1. graph: $y = -2x$

Explanation:

Step1: Identify slope-intercept form

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

Step2: Plot the y-intercept

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

Step3: Use slope to find a second point

Slope $m=\frac{\text{rise}}{\text{run}}=\frac{-2}{1}$. From $(0,0)$, move 1 unit right and 2 units down to get the point $(1,-2)$. Alternatively, move 1 unit left and 2 units up to get $(-1,2)$.

Step4: Draw the line

Connect the plotted points $(0,0)$, $(1,-2)$, and $(-1,2)$ with a straight line that extends across the entire grid.

Answer:

A straight line passing through the points $(0,0)$, $(1,-2)$, and $(-1,2)$, extending infinitely in both directions on the coordinate grid.