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

Question

Answer 1

Without doing any work, the slope of the perpendicular line MUST have slope 1/4

So the first and third options are eliminated; the answer must be either the 2nd or 4th option..

Since the line must eat (4,5), the 2nd option is the only one that works when x=4, as

1/4*4+4 = 1+4=5...

therefore, the answer is y = (1/4)x+4, which is the 2nd option