Question

The equation y = 4x represents the relationship between time, x, and distance traveled, y. Which graph represents this relationship?
On a coordinate plane, a line goes through points (0, 40) and (5, 45).
On a coordinate plane, a line goes through points (0, 0) and (1, 4).
On a coordinate plane, a line goes through points (0, 4) and (1, 5).
On a coordinate plane, a line goes through points (0, 4) and (4, 0).

Answer 1

The second graph: the line through (0, 0) and (1, 4).

Reason: y = 4x passes through the origin and has slope 4, so (0,0) and (1,4) lie on it. The other lines have different intercepts or slopes.