graph the line.\ny = \\frac{1}{2}x

Explanation:

Step1: Find the y - intercept

The equation $y = \frac{1}{2}x$ is in slope - intercept form $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. Here $b = 0$, so the line passes through the origin $(0,0)$.

Step2: Use the slope to find another point

The slope $m=\frac{1}{2}=\frac{\text{rise}}{\text{run}}$. Starting from the origin $(0,0)$, if we move 2 units to the right (run = 2), we move 1 unit up (rise = 1). So another point on the line is $(2,1)$.

Step3: Draw the line

Plot the points $(0,0)$ and $(2,1)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points $(0,0)$ and $(2,1)$ and draw a straight - line through them to graph $y=\frac{1}{2}x$.