Question

when a scatterplot is created from a table of values, which statement is correct?
it is possible for two points to have the same x - coordinate and the same y - coordinate.
it is impossible for two points to have the same x - coordinate or the same y - coordinate.
it is possible for two points to have the same y - coordinate, but it is impossible for them to have the same x - coordinate.
it is possible for two points to have the same x - coordinate, but it is impossible for them to have the same y - coordinate.

Explanation:

In a scatter - plot, which is used to display the relationship between two variables \(x\) and \(y\).

• For the \(x\) - coordinate: In a non - function (where the relation does not satisfy the vertical line test), two points can have the same \(x\) - coordinate. For example, the relation \(\{(1,2),(1,3)\}\) when plotted as a scatter - plot has two points with \(x = 1\).
• For the \(y\) - coordinate: Two points can have the same \(y\) - coordinate. For example, the relation \(\{(1,2),(3,2)\}\) when plotted as a scatter - plot has two points with \(y=2\).

Answer:

It is possible for two points to have the same \(x\) - coordinate and the same \(y\) - coordinate.