if a graph is proportional will it display the characteristic of passing through the point (0,0)
5 answers
No, just because a graph is proportional does not necessarily mean it will pass through the point (0,0). A proportional graph implies that there is a linear relationship between the two variables, meaning that as one variable increases, the other also increases in direct proportion. However, depending on the specific equation or scenario, the graph may or may not pass through the origin (0,0). The specific location of the graph is determined by other factors such as the intercepts, constants, or additional conditions.
will it curve?
will it have y values larger than their corresponding x-values?
will it climb rapidly, indicating a steep slope?
will it have y values larger than their corresponding x-values?
will it climb rapidly, indicating a steep slope?
If a graph is proportional, it will not curve. It will be a straight line passing through the origin (0,0).
In a proportional graph, the y values will be equal to their corresponding x-values multiplied by a constant factor (slope). So, if the x-values increase, the y-values will also increase, but they will not be larger than their corresponding x-values.
The slope of a proportional graph will be constant, indicating a constant rate of change between the variables. It will not climb rapidly, indicating a steep slope. It will have a consistent and steady increase or decrease.
In a proportional graph, the y values will be equal to their corresponding x-values multiplied by a constant factor (slope). So, if the x-values increase, the y-values will also increase, but they will not be larger than their corresponding x-values.
The slope of a proportional graph will be constant, indicating a constant rate of change between the variables. It will not climb rapidly, indicating a steep slope. It will have a consistent and steady increase or decrease.
what's the answer then?
Apologies for any confusion. Let me clarify:
If a graph is proportional, it will indeed pass through the point (0,0). This is because the proportional relationship implies that when one variable is zero, the other variable must also be zero.
A proportional graph will be a straight line passing through the origin (0,0). It will not curve.
The y-values in a proportional graph can be larger than their corresponding x-values. The specific values will depend on the equation or scenario. However, the overall trend is that as x increases, y will also increase, but at a constant rate determined by the slope.
Regarding the slope, a proportional graph will have a constant and consistent slope. It will not climb rapidly or indicate a steep slope. The slope will indicate the constant rate of change between the variables.
If a graph is proportional, it will indeed pass through the point (0,0). This is because the proportional relationship implies that when one variable is zero, the other variable must also be zero.
A proportional graph will be a straight line passing through the origin (0,0). It will not curve.
The y-values in a proportional graph can be larger than their corresponding x-values. The specific values will depend on the equation or scenario. However, the overall trend is that as x increases, y will also increase, but at a constant rate determined by the slope.
Regarding the slope, a proportional graph will have a constant and consistent slope. It will not climb rapidly or indicate a steep slope. The slope will indicate the constant rate of change between the variables.
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