MN has an equation of 2x-y=3. What is the equation of a line perpendicular to MN and passes through the point (4,3)?

Question

Please give me an explanation....Im not sure on how to solve this

My answer choices are:

A. y= -1/2x - 5

B. y= -2x - 5

C. y= 1/2x - 5

D. y= -1/2x +5

Answer 1

2x, - y = 3

2x = y + 3

2x - 3 = y, the slope of the line is 2

The slope of the perpendicular is -1 / 2

Use point-slope form

(y - 3) / (x - 4 = -1 / 2