Questions: Which graph matches the equation y=1/2 x
Transcript text: Which graph matches the equation $y=\frac{1}{2} x$
Solution
Solution Steps
Step 1: Find points on the line y = (1/2)x
We can find points on the line by plugging in x-values and solving for y. If x = 0, then y = (1/2)(0) = 0. So (0,0) is on the line. If x = 2, then y = (1/2)(2) = 1. So (2,1) is on the line.
Step 2: Compare the points to the graphs.
Graph I contains the point (0,0), but it contains the point (2,4) rather than (2,1).
Graph II contains the point (0,0) and it also contains the point (2,1).