Question

graph the line that has a slope of $-5$ and includes the point $(0, 8)$. click to select points on the graph.

Explanation:

Step1: Identify y-intercept point

The given point $(0, 8)$ is the y-intercept, mark this point on the graph.

Step2: Use slope to find 2nd point

Slope $m=-5=\frac{-5}{1}$, so from $(0,8)$, move 1 right, 5 down: $(0+1, 8-5)=(1,3)$. Mark this point.

Step3: Draw the line

Connect the two points $(0,8)$ and $(1,3)$, extend the line across the grid.

Answer:

The line passes through points $(0, 8)$ and $(1, 3)$ (and other collinear points), forming a downward-sloping line on the coordinate grid.