Question

The equation passes through the point (5, -2) and is perpendicular to the line x - 2y - 4 = 0.

Answer 1

First, solve explicitly for y:
x-2y-4=0
2y=4-x
y=2-(1/2)x
m=-(1/2)
The line passing through p(5, -2) is perpendicular, so the slop of new line will be the opposite reciprocal m=2
Using pt slope formula plug in your values;
y-(-2)=2(x-5) solve for y
y+2=2x-10
y=2x-12

Answer 2

Refer to the Mathematica 9 solution and plot attached.