Question

which of the following is the graph of this function rule?
y = 1 - \frac{3x}{2}

Explanation:

Step1: Rewrite in slope-intercept form

Rewrite $y = 1 - \frac{3x}{2}$ as $y = -\frac{3}{2}x + 1$.

Step2: Identify y-intercept

The y-intercept is $b=1$, so the line crosses $(0,1)$.

Step3: Find another point

Use $x=2$: $y = -\frac{3}{2}(2) + 1 = -3 + 1 = -2$. So the line passes through $(2,-2)$.

Step4: Match to graphs

Check which graph has points $(0,1)$ and $(2,-2)$.

Answer:

The left-most graph (with points at $(-2,4)$, $(0,1)$, and $(2,-2)$)