Question

the set of possible coordinates of a point A which lies on a: a horizontal line passing through B(−4,−8)

Answer 1

-8.

Explanation:

A horizontal line has a constant y-coordinate, so the set of possible coordinates of a point A which lies on a horizontal line passing through B(-4,-8) is:

x ∈ ℝ

This means that the x-coordinate of point A can be any real number, but the y-coordinate will always be -8.

Here is an example of a horizontal line passing through B(-4,-8):

[Plot of a horizontal line passing through B(-4,-8)]

As you can see, the y-coordinate of all points on the line is -8, regardless of their x-coordinate.