Question

graph the line with slope $\frac{1}{2}$ and $y$-intercept $-4$.

Explanation:

Step1: Identify y-intercept point

The y-intercept is -4, so the point is $(0, -4)$. Plot this on the graph.

Step2: Use slope to find next point

Slope $\frac{1}{2}$ means $\frac{\text{rise}}{\text{run}} = \frac{1}{2}$. From $(0, -4)$, move up 1 unit and right 2 units to get the point $(2, -3)$. Plot this point.

Step3: Draw the straight line

Connect the points $(0, -4)$ and $(2, -3)$, then extend the line in both directions across the grid.

Answer:

The line passes through $(0, -4)$ and follows the slope $\frac{1}{2}$, extending infinitely in both directions on the coordinate grid.