We must decide which graph depicts a proportional relationship. Choice A is the graph that depicts a proportionate relationship.
If a graph has a constant slope, it is considered to indicate a proportionate connection.
In essence, a graph is considered to be proportional if increasing the value of its independent variable, x, causes a rise in the value of its dependent variable, y.
In the graphs above, the graph in choice A plainly satisfies this criteria.
In the graphs above, the graph in choice A plainly satisfies this criteria. Because the y value changes without changing the x value, the graph in option B will have a slope, m = 0.
The graph in option A clearly meets this criteria in the graphs above. Because the y value changes without changing the x value, the graph in option B will have a slope, m = 0.Because changes in the x value do not result in changes in the y value, the graph in option C will have an undefined slope.
The graph in option A clearly meets this criteria in the graphs above. Because the y value changes without changing the x value, the graph in option B will have a slope, m = 0.Because changes in the x value do not result in changes in the y value, the graph in option C will have an undefined slope. The graph in option D is a curve with a variable slope since it changes at each point.
Choice A is the graph that depicts a proportionate relationship.