document.write( "Question 963246: Find the equation of the line that is equidistant from points (3,-2) and (-3,4). Write the equation in slope-intercept form. \n" ); document.write( "

Algebra.Com's Answer #588469 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the distance formula from a point on the line (x,y) to each point.
\n" ); document.write( "Since the distances are equal, set them equal to each other.
\n" ); document.write( " $\"%28x-3%29%5E2%2B%28y%2B2%29%5E2=%28x%2B3%29%5E2%2B%28y-4%29%5E2\"$
\n" ); document.write( " $\"x%5E2-6x%2B9%2By%5E2%2B4y%2B4=x%5E2%2B6x%2B9%2By%5E2-8y%2B16\"$
\n" ); document.write( " $\"-6x%2B4y%2B13=6x-8y%2B25\"$
\n" ); document.write( " $\"12y=12x%2B12\"$
\n" ); document.write( " $\"y=x%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );