Question

The lines represented by the equations y = -2x - 9 and y + 2x = -1 are:

A) Perpendicular
B) Parallel
C) Neither parallel nor perpendicular
D) The same line

Answer 1

The lines represented by the equations y = -2x - 9 and y + 2x = -1 are neither parallel nor perpendicular.

Step-by-step explanation:

The lines represented by the equations y = -2x - 9 and y + 2x = -1 are neither parallel nor perpendicular.

To determine if two lines are parallel or perpendicular, we can look at their slopes. The slope of the first line, y = -2x - 9, is -2, and the slope of the second line, y + 2x = -1, is -2/1 = -2. Since the slopes are the same, but not equal to 0 or undefined, the lines are neither parallel nor perpendicular. Instead, they are different lines.