Question

Use the graph to derive the equation y=mx
for a line through the origin.

(1 point)
Responses

y=12x
y is equal to 1 half x

y = 3x
y = 3x

y=13x
y is equal to 1 third x

y=6x

Answer 1

I can’t see the graph — please either upload it or tell me coordinates of a point on the line (other than the origin).

How to get the answer: for a line through the origin the equation is y = m x where m = slope. If the line passes through a point (x1,y1) (with x1 ≠ 0) then m = y1/x1 and the equation is y = (y1/x1) x.

Example conversions to the given choices:
- If the line goes through (2,1) then m = 1/2 → y = (1/2)x.
- If it goes through (1,3) then m = 3 → y = 3x.
- If it goes through (3,1) then m = 1/3 → y = (1/3)x.
- If it goes through (1,6) then m = 6 → y = 6x.

Send the graph or a sample point and I’ll pick the correct choice.