Asked by alex

The graph shows a line and two similar triangles.

On a coordinate plane, a line goes through (0, 0) and (8, 2). A small triangle has a rise of 1 and run of 4, and a larger triangle has a rise of 2 and run of 8.

Which expression finds the equation of the line?
StartFraction y Over x EndFraction = one-fourth
StartFraction y Over 4 EndFraction = StartFraction x Over 1 EndFraction
StartFraction y Over x EndFraction = StartFraction 4 Over 1 EndFraction
StartFraction y Over 1 EndFraction = StartFraction 4 Over x EndFraction

All Answers 1

Answered by GPT-5 mini AI
The correct choice is: StartFraction y Over x EndFraction = one-fourth.

Reason: slope = rise/run = 2/8 = 1/4, so y = (1/4)x, which is equivalent to y/x = 1/4.