document.write( "Question 3566: How do i determine the equation of this line: parallel to the line -2x+3, containing the point(-2,1)? \n" ); document.write( "
Algebra.Com's Answer #1592 by Pieter(35) ![]() You can put this solution on YOUR website! if you know that the general equation for a circle with midpoint M(a,b) is \n" ); document.write( "(x-a)²+(y-b)²= r², you can work this equation out: \n" ); document.write( "x² - 2ax + a² + y² - 2by + b² - r² = 0 \n" ); document.write( "if you compare this with x² + 4x + y² - 5 = 0, \n" ); document.write( "you can conclude that b = 0 (the y coordinate from the midpoint), \n" ); document.write( "and - 2a = 4 or a = -2 \n" ); document.write( "then we still have a² - r² = -5 \n" ); document.write( "-r² = -5 - 4 = -9 or r² = 9 so r = 3\r \n" ); document.write( "\n" ); document.write( "So your circle has midpoint M(-2,0) and radius r=3\r \n" ); document.write( "\n" ); document.write( "i hope you understand the reasoning, \n" ); document.write( "otherwise contact me\r \n" ); document.write( "\n" ); document.write( "Greets \n" ); document.write( " |