Since a line on the graph passes through the point (0, 5), the graph does not represent a proportional relationship because it won't pass through the origin (0, 0).
In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:
y = kx
Where:
- y represents the y-variable.
- x represents the x-variable.
- k is the constant of proportionality.
Generally speaking, the characteristics for a graph that shows a proportional relationship include the following:
"A straight line can be drawn through the points."
"The line connecting the points passes through the origin."