Question

What best describes the relationship between the lines with equations -x - 8y = 8 and -16x + 2y = 0?

A) They are parallel lines.
B) They are perpendicular lines.
C) They intersect at a single point.
D) They do not intersect; they are distinct lines.

Answer 1

The lines -x - 8y = 8 and -16x + 2y = 0 do not intersect; they are distinct lines.

Step-by-step explanation:

To determine the relationship between the lines with equations -x - 8y = 8 and -16x + 2y = 0, we can compare their slopes. The given equations are in the form y = mx + b, where m represents the slope. The slope of the first line is -1/8, and the slope of the second line is 8. Since the slopes are neither equal nor negative reciprocals, the lines are neither parallel nor perpendicular. Therefore, the correct answer is D) They do not intersect; they are distinct lines.