find an equation of the line passing through point (2, 1) and perpendicular to y=2x-3/2

Question

I suck in math so please help math geniuses.

Answer 1

Perpendicular lines have slopes that are negative reciprocals.

The given line has slope M=2.

So the perpendicular line has slope (-1/2)

 

B = y - mx = 2 - (-1/2)(-1) = 2 - (1/2) = 3/2

 

y = (-1/2)x + 3/2