graph the line.\ny = 3x

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. For $y = 3x$, $b = 0$, so the line passes through the point $(0,0)$.

Step2: Use the slope to find another point

The slope $m = 3=\frac{\Delta y}{\Delta x}$. Starting from the point $(0,0)$, if we increase $x$ by 1 ($\Delta x=1$), then $y$ increases by 3 ($\Delta y = 3$). So another point is $(1,3)$.

Step3: Draw the line

Plot the points $(0,0)$ and $(1,3)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points $(0,0)$ and $(1,3)$ and draw a straight - line through them on the given coordinate grid.