Question

graph the function $f(x) = -dfrac{3}{4}x + 2$.

Explanation:

Step1: Identify slope-intercept form

Function: $f(x)=-\frac{3}{4}x+2$ (slope $m=-\frac{3}{4}$, y-intercept $b=2$)

Step2: Plot y-intercept

Point: $(0,2)$ (where $x=0$)

Step3: Use slope to find next point

From $(0,2)$, move 4 right ($\Delta x=4$) and 3 down ($\Delta y=-3$): $(4,-1)$

Step4: Draw line through points

Connect $(0,2)$ and $(4,-1)$; extend line across grid.

Answer:

A straight line passing through (0,2) and (4,-1) on the given coordinate plane.