Question

Which equation represents the line that is parallel to y = 3 and passes through (-2, -8)?

A) x = -2
B) x = 3
C) y = -8
D) y = 3x - 2

Answer 1

The correct equation for a line that is parallel to y = 3 and passes through (-2, -8) is y = -8, because parallel lines have the same slope and the 'y' value must match the point it passes through.

Step-by-step explanation:

The question involves finding an equation for a line that is parallel to another line and passes through a given point. The line y = 3 is horizontal, and any line parallel to it will also have the form y = k, where k is some constant. Since the line must pass through the point (-2, -8), our line will have the same 'y' value as the point's y-coordinate. Therefore, the correct equation representing a line parallel to y = 3 that passes through (-2, -8) is y = -8.