document.write( "Question 389531: Please help me. I missed a week of school and I am so lost. I have this take home test that is due soon.
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document.write( "So, the first problem is to write an equation of the perpendicular bisextor of the line segment whose endpoints are (-1. 1) and (7, 5) and there is also a grid provided for me but it is optional. Can you please explain this step by step so I could understand other math material. Thank you! \n" );
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Algebra.Com's Answer #276039 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 1. First find the slope of the line segment then find the midpoint of the line segment \n" ); document.write( "Using the coordinates of the two end points, (-1,1) and (7,5), \n" ); document.write( "slope =∆y/∆x =(1-5)/(-1-7)=-4/-8 =1/2 \n" ); document.write( "midpoint = (x1+x2)/2,(y1+y2)/2=(-1+7)/2,(1+5)/2=(3,3)\r \n" ); document.write( "\n" ); document.write( "slope of perpendicular bisector = negative reciprocal or line segment = -2 \n" ); document.write( "using this slope, the coordinates of the midpoint (3,3), and the point slope formula,y=mx+b \n" ); document.write( "3=-2*3+b \n" ); document.write( "b=3+6=9 \n" ); document.write( "equation then becomes, y=-2x +9\r \n" ); document.write( "\n" ); document.write( "ans: the equation of the perpendicular bisector of a line segment whose endpoints are (-1,1) and (7,5) \n" ); document.write( " is y=-2x+9 \n" ); document.write( " |