Question

each graph, determine whether x and y are proportional. if x and y are proportional, fill in the blank with a number. graph 1 graph 2 proportional y is times x proportional y is times x not proportional not proportional

Explanation:

Step1: Check Graph 1 proportionality

Proportional graphs pass through (0,0). Graph 1's line starts at (0,2), so it does not pass through the origin.

Step2: Check Graph 2 proportionality

Graph 2's line passes through (0,0), so it is proportional.

Step3: Find ratio for Graph 2

Pick a point, e.g., (5,1): $\frac{y}{x} = \frac{1}{5} = 0.2$. Verify with (6,2): $\frac{2}{6} = \frac{1}{3}$? No, correct point: (5,1), (10,2): $\frac{2}{10} = 0.2$, (15,3): $\frac{3}{15}=0.2$. So $y = 0.2x$.

Answer:

Graph 1: Not proportional
Graph 2: Proportional, y is $\frac{1}{5}$ (or 0.2) times x