# Coordinate geometry- point to line distance

• February 25th 2011, 01:30 PM
Tessarina
Coordinate geometry- point to line distance
Find K given 3x+4y=10 and 5x+12y+k=0 are equidistant from O(0,0)

The distance from the point $(p,q)$ to the line $Ax+By+C=0$ is
$\displaystyle \frac{|Ap+Bq+C|}{\sqrt{A^2+B^2}}$