Question

which of the following pairs of ordered pairs represents points that lie on the same horizontal line? a. (-2, 3), (-5, 3) b. (2, 3), (-2, 4) c. (-2, 3), (-2, 4) d. (2, -3), (5, 3)

Explanation:

Step1: Recall horizontal line property

Points on a horizontal line have the same y - coordinate.

Step2: Analyze Option A

For the points \((-2, 3)\) and \((-5, 3)\), the y - coordinate of both points is \(3\). So, they have the same y - coordinate.

Step3: Analyze Option B

For the points \((2, 3)\) and \((-2, 4)\), the y - coordinates are \(3\) and \(4\) respectively, which are different.

Step4: Analyze Option C

For the points \((-2, 3)\) and \((-2, 4)\), the x - coordinates are the same (\(-2\)) and the y - coordinates are different (\(3\) and \(4\)). These points lie on a vertical line, not a horizontal line.

Step5: Analyze Option D

For the points \((2, - 3)\) and \((5, 3)\), the y - coordinates are \(-3\) and \(3\) respectively, which are different.

Answer:

A. \((-2, 3), (-5, 3)\)