Question

plot the points (5,0), (5, - 4), (5,4), (5,9), and (5, - 3). describe the set of all points of the form (5,y), where y is a real number. plot the point (5,0).

Explanation:

Step1: Recall coordinate - plane rules

In a two - dimensional coordinate plane, a point is represented as $(x,y)$. For the points $(5,0),(5, - 4),(5,4),(5,9),(5, - 3)$, the $x$ - coordinate is always 5.

Step2: Understand the set of points $(5,y)$

The set of all points of the form $(5,y)$ where $y$ is a real number means that the $x$ - value of each point in the set is fixed at 5, and the $y$ - value can be any real number. In the coordinate plane, all such points lie on a vertical line passing through $x = 5$.

Answer:

The set of all points of the form $(5,y)$ where $y$ is a real number is a vertical line passing through the point $x = 5$ on the $x$ - axis.