graph the line with y - intercept 8 and slope - 8.

Explanation:

Step1: Recall the slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Given $m=-8$ and $b = 8$, the equation of the line is $y=-8x + 8$.

Step2: Plot the y - intercept

The y - intercept is 8. So, plot the point $(0,8)$ on the y - axis.

Step3: Use the slope to find another point

The slope $m=-8=\frac{\Delta y}{\Delta x}$. Starting from the point $(0,8)$, if $\Delta x = 1$, then $\Delta y=-8$. So, another point is $(0 + 1,8-8)=(1,0)$.

Step4: Draw the line

Draw a straight line passing through the points $(0,8)$ and $(1,0)$.

Answer:

Graph a line passing through the points $(0,8)$ and $(1,0)$ on the given coordinate plane.