Use the graph to derive the equation y = mx for a line through the origin. Simplify the numerical coefficient, if needed.
A. y = 8x
B. y = 3x
C. y = x
D. y = 3/3x
The correct answer is C. y = x.
From the graph, we see that the line goes through the origin and has a slope of 1. Since the line goes through the origin, the y-intercept is 0. Therefore, the equation of the line is y = 1x, which simplifies to y = x.