A line passes through the points 20m 16m and 1m 7m Determine

A line passes through the points (20m, 16m) and (-1m, -7m). Determine the perpendicular distance d from the line to the origin O of the system of coordinates.

Solution

Equation of line is {y-20/16-(-7)}={x-20/20-(-1)}

21y=23x-124

23x-21y-124=0

Perpendicular distance from(0,0) is |Ax+By+c|/Sqrt of A^2+B^2

=|-124|/Sqrt of 23^2+21^2

=|124|/sqrt of 970=3.94