# Thread: Urgent help with coordinate geometry: perp. distance

1. ## Urgent help with coordinate geometry: perp. distance

Need help with this qustion from coordinate geometry:

Write down the equation of any line through the point (-4, 2).
Hence find the equations of the two lines through the point (-4, 2) whose perpendicular distance from the origin is 2.

2. The distance from the origin to your line is given by $\frac{|C|}{\sqrt{A^{2}+B^{2}}}=2$

You also have $-4A+2B+C=0$

The slope of the line will be negative.

Here's the graph of your line. Can you get anywhere?. Try letting B=1 and then use the two equations to solve for A and C.