your problem is missing part of the problem. it should state the coordinates of a point the perpendicular line goes through.
Michelle B.
asked 02/03/20Write an equation for the line perpendicular to y = 3x – 5
4 Answers By Expert Tutors

Patrick B. answered 02/03/20
Math and computer tutor/teacher
the perpendicular line has slope (-1/3)
we need to know a point through which the perpendicular line passes
the generic equation is y = (-1/3) x + k where k is a fixed constant

Arturo O. answered 02/03/20
Experienced Physics Teacher for Physics Tutoring
In order to fully answer this question, we need to also know the coordinates of a point that the perpendicular line passes through. Without that, the best we can do is identify its slope as
m = -1/3
Its equation becomes
y = (-1/3)x + b,
but we need the coordinates of a point to find the value of b.

Mark H. answered 02/03/20
Tutoring in Math and Science at all levels
The perpendicular line will have a slope that is the negative inverse of the given line. The given line has a slope of + 3, so the perpendicular line will have a slope of -1/3.
To write an equation fo the new line, we need more information---eg one point on the line.
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