Question

Which pair of equations represents two perpendicular lines?

Option A: 10y = -9x and y = -9/10x + 6

Option B: -4x + 5y = -5 and y = -4/5x + 7

Option C: -8/3x + 9 = y and 8y = 3x - 32

Option D: y = -5x + 2 and y = -5x - 1/2

Answers

Option C or -8/3x+9 =y and 8y=3x -32 is your answer. Simply solve for the y in each equation, and if your slopes are opposite slopes with opposite signs and opposite reciprocal in which the numerator and the denominator is switched, the lines are perpendicular.

y=-8/3x+9------> first line

y=3/8x-4------> second line

Since -8/3 and 3/8 are opposites and opposite reciprocals, choice C is your answer.

Hope I helped!

Maxwell

#1

C. The slopes are negative reciprocals.

-8/3 and 3/8

#2