Question

Plot the points $(0,3),(1,3),(-2,3),(5,3),$and $(-4,3)$. Describe the set of all points of the form $(x,3)$, where x is a real number.

Short answer

The points will be on a horizontal line that is 3 units above the x-axis. The graph is in step 2.

Step-by-step solution

Step 1. Given information.

The given points are$(0,3),(1,3),(-2,3),(5,3),$and$(-4,3)$.

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 horizontal line that is 3 units above the x-axis. The graph is in step 2.