Explanation:
Let's analyze the options:
A. y = 4x: This equation represents a linear relationship where the y-values are four times the x-values. This would result in a straight line with a positive slope.
B. y = x: This equation represents a linear relationship where the y-values are equal to the x-values. This would result in a straight line with a slope of 1.
C. y = 12x: This equation represents a linear relationship where the y-values are twelve times the x-values. This would result in a straight line with a steeper positive slope than option A.
D. y = x: This equation represents a linear relationship where the y-values are equal to the x-values. This is the same equation as option B.
Without visualizing the graph, it is challenging to determine the exact equation. However, if the graph is a straight line passing through the origin (0,0) with a slope of 1, then option B (y = x) would be the correct equation.
Please refer to the graph to confirm the matching equation.