Question

Select the equation(s) of lines that are perpendicular to y = 3/4x.

a) Y = 3/4x + 5
b) 8x - 6y = 12
c) 4x + 3y = 12
d) Y = 4/3x - 2

Answer 1

The equation Y = 4/3x - 2 is perpendicular to y = 3/4x because their slopes are negative reciprocals.

Step-by-step explanation:

To determine which equations are perpendicular to y = 3/4x, we need to find equations with slopes that are negative reciprocals of 3/4. The negative reciprocal of 3/4 is -4/3.

Therefore, the equation Y = 4/3x - 2 is perpendicular to y = 3/4x because the slopes are negative reciprocals of each other.