Question

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

Explanation:

Step1: Identify slope-intercept form

The equation is $y = \frac{4}{5}x - 7$, which follows $y=mx+b$ where $m=\frac{4}{5}$ (slope) and $b=-7$ (y-intercept).

Step2: Plot the y-intercept

The y-intercept is $(0, -7)$; mark this point on the graph.

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 $(5, -3)$. Mark this point.

Step4: Draw the line

Connect the two 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.