If a graph is proportional what characteristics does it display?
A. It will pass through the point (0,0)
B.it will climb rapidly indicating a steep slope
C.it will curve
D. It will have y- values larger then there corresponding x- values
A. It will pass through the point (0,0)
The correct answer is A. It will pass through the point (0,0).
When a graph is proportional, it means that there is a constant ratio between the values of the two variables being graphed. In other words, as one variable increases, the other also increases by a constant factor.
This means that when the values of one variable are zero, the values of the other variable will also be zero. Therefore, the graph will always pass through the point (0,0) indicating that when one variable has no value, the other variable will also have no value.
The correct answer is A. It will pass through the point (0,0).
When a graph is proportional, it means that there is a constant ratio between the values on the x-axis and the values on the y-axis. This can also be referred to as a straight-line relationship or direct proportionality.
To determine if a graph is proportional, you can plot the data points and check if they form a straight line that passes through the origin (0,0). In a proportional graph, as the x-values increase, the y-values increase in a constant ratio. This indicates that for every increase in x, there is a corresponding increase in y.
Option B, "it will climb rapidly indicating a steep slope," is not a characteristic of a proportional graph. In a proportional graph, the slope (or steepness) remains constant because the ratio between the x and y values is always the same.
Option C, "it will curve," is also not a characteristic of a proportional graph. In a proportional graph, the relationship between x and y is linear, meaning it follows a straight line.
Option D, "it will have y-values larger than their corresponding x-values," is not necessarily true for a proportional graph. The size of the values on the x and y axes can vary, and what matters is the constant ratio between them, not their absolute values.
Therefore, the correct characteristic for a proportional graph is that it passes through the point (0,0).