What is the equation of the line perpendicular to the line y = -4 and passing through the point (5, 2)?

Question

What is the equation of the line perpendicular to the line y = -4 and passing through the point (5,2)

Answer 1

x=5 is the perpendicular line through (5,2)

y=-4 has slope = 0

any perpendicular line has a vertical slope, undefined

x=5 has a vertical undefined slope

y=-4 has slope = 0 = 0/1

a perpendicular line has a negative inverse slope

flip the fraction upside down and change its sign

0/1 becomes -1/0, but any division by zero is undefined

-1/0 = -infinity or +infinity which are not real numbers