Question

If a graph is proportional, does it pass through the point (0,0)?

Answer 1

Yes, if a graph represents a proportional relationship, it will pass through the point (0,0). A proportional relationship can be described by the equation \( y = kx \), where \( k \) is a constant. When \( x = 0 \), this equation gives \( y = k \cdot 0 = 0 \). Thus, the point (0,0) is part of the graph, indicating that the two quantities are directly proportional and that when one quantity is zero, the other is also zero.