A graph is drawn (see picture). Explain how you know that y is not directly proportional to x.

Answer:
Step-by-step explanation:
If the graph doesn't go thru the origin (0,0), the relationship is not a proportional one.
A graph that represents a proportional relationship between y and x will have a straight line that passes through the point of origin (0, 0). The graph shown therefore doesn't represent a graph where y is directly proportional to x.
For a graph representing a relationship where y is directly proportional to x, (y = kx), the line of the graph passes through the point of origin (0, 0).
When y is directly proportional to x, the quantity of y changes along with the quantity of x.
The graph shown has a line that doesn't pass through the point of origin (0, 0), so it is not a proportional graph and does not represent a relationship where y is directly proportional to x.
See the image attached showing a proportional graph.
Therefore, a graph that represents a proportional relationship between y and x will have a straight line that passes through the point of origin (0, 0). The graph shown therefore doesn't represent a graph where y is directly proportional to x.
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