Question

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

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b=-7$.
So the y-intercept is the point $(0, -7)$.

Step2: Use slope to find 2nd point

Slope $m=\frac{4}{5}$, meaning $\frac{\text{rise}}{\text{run}}=\frac{4}{5}$.
From $(0, -7)$, move up 4, right 5:
$x=0+5=5$, $y=-7+4=-3$.
This gives the point $(5, -3)$.

Step3: Plot and connect points

Plot $(0, -7)$ and $(5, -3)$, then draw a straight line through them.

Answer:

The line passes through points $(0, -7)$ and $(5, -3)$, extending infinitely in both directions on the coordinate plane.