SOLUTION: I totally need help!!!! I don't understand how to get the distance of point (-3,4) from the line y=-2x+2.

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Question 14734: I totally need help!!!! I don't understand how to get the distance of point (-3,4) from the line y=-2x+2.
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
there is a formula for distance of a point (h,k) from a line given by the equation
a*x+b*y+c=0...the formula is
distance = %28a%2Ah%2Bb%2Ak%2Bc%29%2F%28sqrt%28a%5E2%2Bb%5E2%29%29
That is ,just substiute the given coordinates of the point (h,k)for x and y in the given equation of the line and devide it by %28sqrt%28a%5E2%2Bb%5E2%29%29
for the given problem we have line as 2x+y-2=0 and point as (-3,4).So a=2;b=1;c=-2;h=-3;k=4.
distance = %282%2A%28-3%29%2B1%2A4-2%29%2F%28sqrt%282%5E2%2B1%5E2%29%29=-4/%28sqrt%285%29%29