Question

Plot the points $(2,0),(2,-3),(2,4),(2,1),$ and $(2,-1)$. Describe the set of all points of the form $(2,y)$, where y is a real number.

Short answer

The points will be on a vertical line that is 2 units to the right of the y-axis. The graph is in step 2.

Step-by-step solution

Step 1. Given information.

The given points are $(2,0),(2,-3),(2,4),(2,1),$and $(2,-1)$.

Step 2. Plot the points.

Plot the points on a coordinate plane and then connect them by a straight line as shown below.

Step 3. Conclusion.

The points will be on a vertical line that is 2 units to the right of the y-axis. The graph is in step 2.