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

Explanation:

Step1: Find the y - intercept

The equation $y = \frac{3}{2}x$ is in slope - intercept form $y=mx + b$, where $b = 0$. So the line passes through the origin $(0,0)$.

Step2: Find another point using the slope

The slope $m=\frac{3}{2}=\frac{\text{rise}}{\text{run}}$. Starting from the origin $(0,0)$, if we move 2 units to the right (run = 2), we move 3 units up (rise = 3). So another point is $(2,3)$.

Step3: Draw the line

Plot the points $(0,0)$ and $(2,3)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points $(0,0)$ and $(2,3)$ and draw a straight - line through them on the given coordinate grid.