Answer: D) 6
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Explanation:
Direct proportion equations are in the form y = kx, for some constant k.
The k value is the constant of proportionality. Solving for k leads to k = y/x.
For each row in the table, divide the y value over the paired x value.
- Row1: k = y/x = 12/2 = 6
- Row2: k = y/x = 24/4 = 6
- Row3: k = y/x = 30/5 = 6
- Row4: k = y/x = 54/9 = 6
Each row leads to the same k value, so the constant of proportionality is 6.
The equation y = kx updates to y = 6x.
This line has slope 6 and y intercept 0.
All direct proportion equations go through the origin.
