graph the line. $y=3x$

Explanation:

Step1: Identify slope and intercept

The equation $y=3x$ is in slope-intercept form $y=mx+b$, where $m=3$ (slope) and $b=0$ (y-intercept). This means the line crosses the y-axis at $(0,0)$.

Step2: Find a second point

Choose $x=1$, substitute into the equation: $y=3(1)=3$ This gives the point $(1, 3)$.

Step3: Plot and draw the line

Plot the points $(0,0)$ and $(1,3)$ on the coordinate grid. Then draw a straight line passing through these points, extending it across the entire grid.

Answer:

The line $y=3x$ is a straight line passing through the origin $(0,0)$ with a slope of 3, passing through points like $(1,3)$ and $(-1,-3)$, extending infinitely in both directions on the coordinate plane.