Question

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

Explanation:

Step1: Identify slope-intercept form

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

Step2: Plot the y-intercept

The y-intercept is at $(0, -7)$. 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 the point $(5, -3)$. Mark this point.

Step4: Draw the line

Connect the two points $(0, -7)$ and $(5, -3)$ with a straight line, extending it in both directions.

Answer:

The graph is a straight line passing through the points $(0, -7)$ and $(5, -3)$, following the equation $y = \frac{4}{5}x - 7$.