Whats the Name of three lines perpendicular to y=5x-2

Question

Name three lines perpendicular to y=5x-2

Answer 1

While I think Philip may be right, I suspect the answer your instructor may be looking for can be obtained in the following way:

 

The slope of any line perpendicular to the given line is -(1/5)

 

Select any three points on the given line and write the the equations thru each of these points with slope = -1/5.

Answer 2

In a line of form y= mx + b, m is the slope and b is the y-intercept.  Hence for the equation y = 5x - 2 the slope is 5. Two lines are perpendicular if their slopes are negative reciprocals of one another.  The negative reciprocal of 5 is -1/5.  Hence any line with with a slope of -1/5 will be perpendicular to y = 5x - 2.  You can pick any y-intercept.  Here are a few:

 

y = (-1/5)x

y = (-1/5)x + 1

y = (-1/5)x - 1

y = (-1/5) x + 27,462

y = (-1/5)x - 7

etc ...