Question

Choose the equation of the horizontal line that passes through the point (1, -5). (1 point)

A) y = -5
B) x = 1
C) y = 1
D) x = -5

Answer 1

The correct equation for the horizontal line passing through the point (1, -5) is y = -5, which is Option A. This is because horizontal lines have the form y = k, where k is a constant representing the y-coordinate for all points on the line.

Step-by-step explanation:

The equation of a horizontal line is of the form y = k, where k is a constant and represents the y-coordinate of every point on the line. In this case, since the line passes through the point (1, -5), the value of k is -5. Therefore, the equation that represents this horizontal line is y = -5. Options A, B, C, and D represent different types of lines; however, Option A is the correct answer, as it is the only equation that represents a horizontal line passing through the y-coordinate -5. Options B and D denote vertical lines, and Option C incorrectly suggests a horizontal line passing through y = 1.