Question

given the graph shown, which line contains point c?

y = x - 3

y = \frac{1}{3}x + 3

y = -3x

y = x - 1

Explanation:

Step1: Identify coordinates of C

Point $C$ is at $(-3, 2)$

Step2: Test $y=x-3$

Substitute $x=-3$: $y=-3-3=-6
eq 2$

Step3: Test $y=\frac{1}{3}x+3$

Substitute $x=-3$: $y=\frac{1}{3}(-3)+3=-1+3=2$

Step4: Verify match

Result equals $y$-coordinate of $C$

Answer:

$y = \frac{1}{3}x + 3$