Question

graph $y = \frac{4}{5}x - 7$.

Explanation:

Step1: Identify slope and y-intercept

The equation $y = \frac{4}{5}x - 7$ is in slope-intercept form $y=mx+b$, where $m=\frac{4}{5}$ (slope) and $b=-7$ (y-intercept, the point $(0, -7)$).

Step2: Plot the y-intercept

Mark the point $(0, -7)$ on the coordinate plane.

Step3: Use slope to find a second point

Slope $\frac{4}{5}$ means $\frac{\text{rise}}{\text{run}} = \frac{4}{5}$. From $(0, -7)$, move 5 units right and 4 units up to get the point $(5, -3)$.

Step4: Draw the line

Connect the points $(0, -7)$ and $(5, -3)$, then extend the line in both directions.

Answer:

The graph is a straight line passing through points $(0, -7)$ and $(5, -3)$, extending infinitely in both directions.