document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #7362 by venugopalramana(3286) $\"\"$ $\"About$

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there is a formula for distance of a point (h,k) from a line given by the equation
\n" ); document.write( " a*x+b*y+c=0...the formula is
\n" ); document.write( " distance = $\"%28a%2Ah%2Bb%2Ak%2Bc%29%2F%28sqrt%28a%5E2%2Bb%5E2%29%29\"$
\n" ); document.write( " 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 $\"%28sqrt%28a%5E2%2Bb%5E2%29%29\"$
\n" ); document.write( "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.
\n" ); document.write( "distance = $\"%282%2A%28-3%29%2B1%2A4-2%29%2F%28sqrt%282%5E2%2B1%5E2%29%29\"$ =-4/ $\"%28sqrt%285%29%29\"$ \n" ); document.write( "

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