Question

Point A is plotted on the coordinate plane below. Determine the location of Point C given the following criteria: Point C has integer coordinates. The graph of line AC is not a function.

Answer 1

`(3,4)`

Step-by-step explanation

We want to find the location of point C such that C has integer coordinates and the graph of line AC is not a function.

For the graph of line AC not to be a function, it implies that the graph of line AC must be perpendicular to the x-axis. In other words, the graph of line AC must be a vertical line.

This, therefore, implies that point C can lie anywhere on the vertical line that passes through point A. In other words, it will have the same x-coordinate as A but a different integer y-coordinate.

The coordinates of A are (3, 2). Hence, we can pick the location of point C to be:

`C(3,4)`

That is the answer.