Question

The graph shows a line and two similar triangles.

On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.

What is the equation of the line?
y = three-halves x
y = two-thirds x
y = 3 x
y = 2 x

Answer 1

y = two-thirds x

Slope = rise/run = 4/6 = 2/3, and since the line passes through (0,0) the equation is y = (2/3)x.