Question

graph $y = \frac{1}{2}x - 3$.

Explanation:

Step1: Identify slope and y-intercept

The equation $y=\frac{1}{2}x-3$ is in slope-intercept form $y=mx+b$, where $m=\frac{1}{2}$ (slope) and $b=-3$ (y-intercept).

Step2: Plot y-intercept

The y-intercept is at the point $(0, -3)$. Mark this point on the graph.

Step3: Use slope to find second point

Slope $\frac{1}{2}$ means $\frac{\text{rise}}{\text{run}}=\frac{1}{2}$. From $(0, -3)$, move up 1 unit and right 2 units to get the point $(2, -2)$. Mark this point.

Step4: Draw the line

Connect the points $(0, -3)$ and $(2, -2)$, then extend the line in both directions across the grid.

Answer:

The line passes through points such as $(0, -3)$ and $(2, -2)$, extending infinitely in both directions, representing the equation $y=\frac{1}{2}x-3$.