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

Explanation:

Step1: Find the y - intercept

The equation $y = \frac{3}{4}x$ is in slope - intercept form $y=mx + b$, where $b = 0$. So the line passes through the origin $(0,0)$.

Step2: Use the slope to find another point

The slope $m=\frac{3}{4}$. Starting from the origin $(0,0)$, if we move 4 units to the right (increase $x$ by 4), we move 3 units up (increase $y$ by 3) since $\text{slope}=\frac{\text{rise}}{\text{run}}$. So another point is $(4,3)$.

Step3: Draw the line

Plot the points $(0,0)$ and $(4,3)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points $(0,0)$ and $(4,3)$ and draw a straight - line through them.