document.write( "Question 124052: Can someone please help with this problem? \r
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document.write( "What is the equation of a line parallel to y=-X+3 through the point (2,4)?\r
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document.write( "Thanks so much \n" );
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Algebra.Com's Answer #91047 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! What is the equation of a line parallel to y=-X+3 through the point (2,4)? \n" ); document.write( ": \n" ); document.write( "Parallel lines have the same slope \n" ); document.write( "The given equation has a slope (m) of -1 \n" ); document.write( ": \n" ); document.write( "Use the point/slope formula which is y - y1 = m(x -x1) \n" ); document.write( ": \n" ); document.write( "In your problem m =-1; x1 = 2, y1 = 4, so we have: \n" ); document.write( ": \n" ); document.write( "y - 4 = -1(x - 2) \n" ); document.write( ": \n" ); document.write( "y - 4 = -x + 2; multiplied what's inside the brackets by-1 \n" ); document.write( ": \n" ); document.write( "y = -x + 2 + 4; added 4 to both sides \n" ); document.write( ": \n" ); document.write( "y = -x + 6; (green line, it intercepts the y axis at +6) \n" ); document.write( ": \n" ); document.write( "If you graph these you can see they are in fact parallel \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Did this make sense? Any question about this? \n" ); document.write( " \n" ); document.write( " |