is y= -1/3x + 2 perpendicular to y= 3x-5

Answer 1

Yes. Two lines are perpendicular if their slopes are negative reciprocals.

(e.g. if the slope of a line is 2, the slope of a perpendicular line would be -1/2)

y = -(1/3) x + 2 has a slope of -1/3

y = 3x - 5 has a slope of 3

3 is the negative reciprocal of -1/3 (and vice versa)

Thus, the two lines are perpendicular.