Question

Which line is perpendicular to the line

-2x + 3y = 12 ?

Question 4 options:

-2x + y = 12

y=2/3x-1


-2x + 3y = 11


3x + 2y = -2

Answer 1

-2x + 3y = 12
3y = 2x + 12
y = 2/3x + 4...slope here is 2/3. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So ur perpendicular line will have a slope of -3/2

3x + 2y = -2
2y = -3x - 2
y = -3/2x - 2.....this has a slope of -3/2

answer is : 3x + 2y = -2