Question

which function is best represented by this graph? options: $y = -3x - 3$, $y = \frac{1}{3}x - 3$, $y = 3x - 3$, $y = -\frac{1}{3}x - 1$

Explanation:

Step1: Identify y-intercept

The graph crosses the y-axis at $(0, -3)$, so $b=-3$.

Step2: Calculate slope

Use two points: $(0, -3)$ and $(1, -6)$. Slope $m=\frac{-6 - (-3)}{1-0}=-3$.

Step3: Match to slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=-3, b=-3$: $y=-3x-3$.

Answer:

$y = -3x - 3$