Question

graph the following equation: 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 y-intercept point

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

Step3: Use slope to find second point

Slope $m=\frac{2}{1}$, meaning rise 2, run 1. From $(0,0)$, move right 1, up 2 to get $(1,2)$. Mark this point.

Step4: Use negative slope for third point

For a negative run, move left 1, down 2 from $(0,0)$ to get $(-1,-2)$. Mark this point.

Step5: Draw line through points

Connect $(0,0)$, $(1,2)$, $(-1,-2)$ with a straight line extending across the grid.

Answer:

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