Question

Which graph represents a proportional relationship?
1.On a coordinate plane, a line crosses the y-axis at (0, 2).
2.On a coordinate plane, a line crosses the y-axis at (0, 2).
3.On a coordinate plane, a curved line curves at (0, 0).
4.On a coordinate plane, a line crosses the y-axis at (0, 0).

Answer 1

To determine which graph represents a proportional relationship, we need to look for a line that passes through the origin (0, 0). A proportional relationship has the form \(y = kx\), where \(k\) is a constant. This means that when \(x = 0\), \(y\) must also be \(0\).

Given your options:

1. A line crosses the y-axis at (0, 2) — **not proportional** (does not pass through origin).
2. A line crosses the y-axis at (0, 2) — **not proportional** (same as option 1).
3. A curved line curves at (0, 0) — could represent a relationship but not necessarily proportional unless it's a straight line through the origin.
4. A line crosses the y-axis at (0, 0) — **proportional** (passes through the origin).

Thus, the correct option that represents a proportional relationship is **option 4**.