Question

graph the line.
$y = \frac{3}{2}x$

Explanation:

Step1: Identify slope-intercept form

The equation $y=\frac{3}{2}x$ is in $y=mx+b$ form, where $m=\frac{3}{2}$ (slope) and $b=0$ (y-intercept).

Step2: Plot y-intercept

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

Step3: Use slope to find next point

Slope $\frac{3}{2}$ means $\frac{\text{rise}}{\text{run}}=\frac{3}{2}$. From $(0,0)$, move 3 units up and 2 units right to get the point $(2,3)$, then mark it.

Step4: Draw the line

Connect $(0,0)$ and $(2,3)$, then extend the line in both directions across the grid.

Answer:

The line passes through the origin $(0,0)$ and $(2,3)$, extending infinitely in both positive and negative directions along the grid.