Let P be the point (p,q) and L the line y = m x + b. It is not necessary, but if you like you may assume that P lies below the line L. All your answers below should be algebraic expressions in terms of m, b, p and q. The slope of L is . The slope of a line perpendicular to L is . The line through P perpendicular to L can be written as y = s x + c where s is and c is: . That line intersects L in the point Q = (u,v), where u is: and v is: . The distance of P and Q is .
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