Question

Let c be any constant number. Which of the following will always be perpendicular to -3x + y = 2?



a.y = 3x + c
b.y = -3x + c
c. y=-1/3x+c
d. y=1/3x+c

Answer 1

For a line to be perpendicular to another line, the slope must be the opposite reciprocal.

so since the slope is 3 in the original equation, a perpendicular line will have a slope of -1/3