Question

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

Explanation:

Step1: Identify slope-intercept form

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

Step2: Plot the y-intercept

The y-intercept is the point where $x=0$. Substitute $x=0$:
$y = \frac{4}{5}(0) - 7 = -7$
Plot the point $(0, -7)$.

Step3: Use slope to find second point

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

Step4: Draw the line

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

Answer:

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