Use the graph the derive the equation y = mx for a line through the origin. Simplify the numerical coefficient, if needed
A) y = 3/3x
B) y = 3x
C) y = 8x
D) y = x
To derive the equation y = mx for a line through the origin, we can use the information on the graph that goes through (0,0).
Since the line must pass through the origin, the y-intercept is 0, which simplifies the equation to y = mx.
A) y = 3/3x simplifies to y = 1x or simply y = x.
Therefore, the correct answer is D) y = x.