What is the shortest distance from the point (6, 0) to the line y = 2x + 8? Express your answer in simplest radical form.
There is an equation to find this sort of thing......but most people do not remember it....here is another way:
Find the equation of the line that is perpindicular to y = 2x+8 that contains the point (6,0)
(HINT: Perindicular slope = - 1/2 )
then equate the two line equations to find the x coordinate of the point of intersection
then use that x coordinate in either of the line equations to find the y coordinate of the point of intersection
THEN, use the distance formula to find the distance between this point of intersection and the point (6,0) ...
See what you can do !