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8. what ratios does the graph show? select all that apply.

Question

  1. what ratios does the graph show? select all that apply.

Explanation:

Step1: Find points on the line

The line passes through points like (0,0), (2,2), (4,4), (6,6), etc. The ratio of y - coordinate to x - coordinate for a point (x,y) on the line gives the ratio.

Step2: Calculate ratio for points

For point (2,2), the ratio is $\frac{y}{x}=\frac{2}{2} = 1:1$. For point (4,4), the ratio is $\frac{y}{x}=\frac{4}{4}=1:1$. For point (6,6), the ratio is $\frac{y}{x}=\frac{6}{6} = 1:1$.
The ratio 4:6 simplifies to $\frac{4}{6}=\frac{2}{3}
eq1:1$.

Answer:

The graph does not show the ratio 4:6.