Question

graph the following function: ( f(x)=-\frac{3}{4}x + 7 )

Explanation:

Step1: Identify y-intercept

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

Step2: Find a second point

Use slope $m=-\frac{3}{4}$: from $(0,7)$, move 4 right, 3 down.
$x=0+4=4$, $y=7-3=4$. The point is $(4, 4)$.

Step3: Draw the line

Connect $(0,7)$ and $(4,4)$, extend along the grid.

Answer:

The line passes through points $(0, 7)$ and $(4, 4)$, extending infinitely in both directions on the coordinate grid.