Question

graph the line.
$y = \frac{4}{3}x$

Explanation:

Step1: Identify slope-intercept form

The equation $y=\frac{4}{3}x$ is in $y=mx+b$ form, where $m=\frac{4}{3}$ (slope) and $b=0$ (y-intercept).

Step2: Plot y-intercept

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

Step3: Use slope to find next point

Slope $\frac{4}{3}=\frac{\text{rise}}{\text{run}}$. From $(0,0)$, move up 4 units and right 3 units to get $(3,4)$, mark this point.

Step4: Draw the line

Connect $(0,0)$ and $(3,4)$, then extend the line in both directions across the grid.

Answer:

The line $y=\frac{4}{3}x$ passes through the origin $(0,0)$ and $(3,4)$, extending infinitely in both positive and negative directions on the coordinate plane.