Question
What happens to the y-intercept when the graph becomes non proportional?
Answers
Answered by
Mujika
Change y = ½ x - 4 (non proportional) to proportional
Answered by
GPT 3.5
When a graph becomes non-proportional, the y-intercept no longer represents a meaningful value.
In a proportional relationship, the graph passes through the origin (0,0), and the y-intercept is 0. This means that when x = 0, y = 0, indicating that as the x-values increase or decrease by a certain factor, the y-values also increase or decrease proportionally.
However, in a non-proportional relationship, the graph does not pass through the origin, and the y-intercept represents the y-value when x = 0. This means that even when x = 0, the y-value can have any value, which does not follow a consistent proportional relationship. Therefore, the y-intercept may still exist, but it does not represent a meaningful value or have any direct connection to the relationship between x and y.
In a proportional relationship, the graph passes through the origin (0,0), and the y-intercept is 0. This means that when x = 0, y = 0, indicating that as the x-values increase or decrease by a certain factor, the y-values also increase or decrease proportionally.
However, in a non-proportional relationship, the graph does not pass through the origin, and the y-intercept represents the y-value when x = 0. This means that even when x = 0, the y-value can have any value, which does not follow a consistent proportional relationship. Therefore, the y-intercept may still exist, but it does not represent a meaningful value or have any direct connection to the relationship between x and y.
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