Use the graph to derive the equation y=mx for a line through the origin. Simplify the numerical coefficient, if needed.

y=3x

y=3/3x

y=8x

y=x

Points on the graph: 3, 8

1 answer

Since the line passes through the origin and the points (3, 3) and (8, 8), we can see that the equation of the line is y = mx.

Using the points (3, 3) and (8, 8):
3 = m(3)
8 = m(8)

From the first equation, we find that m = 1.
Therefore, the equation of the line is y = 1x, which simplifies to y = x.