Q. 16 - Precalculus Enhanced with Graphing Utilities

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.

Step-by-Step Solution

Answer

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

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.