document.write( "Question 474451: Find y if the point (4,y) is equidistant from the points (-1,-1) and (1,3) \n" ); document.write( "
Algebra.Com's Answer #331012 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find y if the point (4,y) is equidistant from the points (-1,-1) and (1,3) \n" ); document.write( "** \n" ); document.write( "Use distance formula to solve: \n" ); document.write( "d^2=(x1-x2)^2+(y1-y2)^2 \n" ); document.write( "Between (4,y) and (-1,-1): \n" ); document.write( "=(4-1)^2+(y-3)^2=3^2+y^2-6y+9=y^2-6y+18 \n" ); document.write( "Between (4,y) and (1,3): \n" ); document.write( "=(4-(-1))^2+(y-(-1))^2=5^2+(y+1)^2=25+y^2+2y+1=y^2+2y+26 \n" ); document.write( ".. \n" ); document.write( "equate equations: \n" ); document.write( "y^2-6y+18=y^2+2y+26 \n" ); document.write( "8y=-8 \n" ); document.write( "y=-1 \n" ); document.write( ".. \n" ); document.write( "Ans: \n" ); document.write( "(4,-1) is equidistant from points (-1,-1) and (1,-3) \n" ); document.write( " |