Question

The graph shows a line and two similar triangles.

On a coordinate plane, a line goes through (0, 0) and (6, 10). A small triangle has a rise of 5 and run of 3, and a larger triangle has a rise of 10 and run of 6.

What is the equation of the line?
y = 5 x
y = 3 x
y = three-fifths x
y = five-thirds x

Answer 1

y = five-thirds x

Reason: slope = rise/run = 10/6 = 5/3 and the line passes through the origin, so y = (5/3)x.