Given line: y=2x-5. What is the perpendicular line to this given line

Question

GIVEN line: y=2x-5

Write an equation for a line perpendicular to the given line

Answer 1

y = 2x is a line parallel to y=2x-5

y= 2x +10 is another line parallel to y=2x-5

y=2x - 7 is another parallel line

Plot them all and they never intersect. Parallel lines never intersect

as a system of equations, there is no solution

any line of the form y=2x +b is parallel to y=2x-5 as long as b does not =-5