find the distance from (-6,-3) to the line defined by y=3x+5. Express as a radical or a number rounded to the nearest hundredth

Question

anonymous · Answer

distance between a point and a line in two dimensional space is defined as a line running from the point to the line that is perpendicular to the original line. perpendicular line have what slope relationshp?

anonymous · Answer

just put it in this form:
-3x+y-5=0
the left part of this expresion gives for the points not on the line, which is the case here,  the distance you looking for. Just devide it later by: sqrt10

anonymous · Answer

(18-3-5)/sqrt10=sqrt10