Question

graph this line using the slope and y-intercept:
$y = -\frac{1}{2}x$
click to select points on the graph.

Explanation:

Step1: Identify slope and y-intercept

The line is in slope-intercept form $y=mx+b$, where $m$ is slope and $b$ is y-intercept. For $y=-\frac{1}{2}x$, $m=-\frac{1}{2}$ and $b=0$. The y-intercept point is $(0,0)$.

Step2: Find a second point

Use slope $m=\frac{\text{rise}}{\text{run}}=-\frac{1}{2}$. From $(0,0)$, move 1 unit down and 2 units right to get the point $(2, -1)$. Alternatively, move 1 unit up and 2 units left to get $(-2, 1)$.

Step3: Plot and connect points

Plot $(0,0)$ and $(2, -1)$ (or $(-2,1)$), then draw a straight line through them.

Answer:

The line passes through points such as $(0,0)$, $(2, -1)$, and $(-2, 1)$, forming a straight line with slope $-\frac{1}{2}$ and y-intercept at the origin.