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Find, in each case, the set of possible coordinates of a point a which lies on a horizontal line passing through b(-4,-8)?

User TimTwoToes
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Final answer:

The set of possible coordinates for point a on a horizontal line passing through b(-4,-8) have the same y-coordinate as b, which is -8, and any real number as the x-coordinate.

Step-by-step explanation:

The set of possible coordinates of a point a which lies on a horizontal line passing through b(-4,-8) can be determined by understanding that all points on a horizontal line have the same y-coordinate.

Therefore, the y-coordinate of point a will be -8, similar to point b. The x-coordinate of point a can be any real number since the line extends infinitely in the horizontal direction.

To express this formally, the set of possible coordinates for point a is given by x ∈ ℝ, where ℝ is the set of all real numbers.

User Retronym
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