# Thread: Set of All Points

1. ## Set of All Points

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.

What exactly is this question asking?

2. ## Re: Set of All Points

Originally Posted by harpazo
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.

What exactly is this question asking?
That set of points is a horizontal line in the $xy$-plane with $y$-intercept $(0,3)$.

3. ## Re: Set of All Points

Originally Posted by Plato
That set of points is a horizontal line in the $xy$-plane with $y$-intercept $(0,3)$.
I decided to plot each point given. The line y = 3 as you said passes through the point (0, 3). I can also see that the value of y remains the same on the line y = 3 while the x-value changes at every point on the horizontal line.