Determine whether the two given lines are perpendicular.
-y + 13 = -4x 6y = 18x - 17
A) Yes
B) No

Question

Quizplus · Accepted Answer

To check if two lines are perpendicular, we need to check the slopes of the lines. If the slopes are negative reciprocals of each other, then the lines are perpendicular.

The first line can be rewritten as y = -4x - 13, which means its slope is -4.

The second line can be rewritten as 6y = 18x - 17, which means its slope is 18/6 = 3.

Since -4 and 3 are not negative reciprocals of each other (negative reciprocals are two numbers whose product is -1), the lines are not perpendicular. Therefore, the answer is (B) No.

Determine Whether the Two Given Lines Are Perpendicular