Question

Which of the following will always be true of a graph that is Non-proportional? 1) The graph will have a negative slope 2) The graph will have a positive slope 3) The graph will pass through the origin 4) The graph will not pass through (0,0)

Answer 1

A non-proportional graph is one that doesn't maintain a consistent slope across the graph. It can have a positive or negative slope and it does not necessarily have to pass through the origin (0,0). The only statement always true for a non-proportional graph is that it won't consistently pass through the origin.

Step-by-step explanation:

A non-proportional graph is one where the ratio of the y-value to the x-value (the slope) is not consistent across the graph. The graph can either be a positive or negative slope, and it does not necessarily pass through the origin (0,0). Consequently, only option 4 can be true in every instance, a non-proportional graph will not always pass through (0,0).

For instance, a line with positive slope moves up as the x-value increases, while a line with a negative slope moves down as x increases. If we have a line that is horizontal (with a slope of zero), or a line that slopes up or down but doesn't cross (0,0), these are examples of non-proportional relationships.

A common misconception is that the slope of a non-proportional line should always be negative or positive, but the reality is that the slope could be zero (in the case of a horizontal line) or undefined (in the case of a vertical line).

Learn more about Non-proportional Graphs