document.write( "Question 1013268: I am bad at doing linear equations so i need help with a few homework peoblems. What is the equation of a line that goes through the point (4, 2) and is parallel to the line given by the equation y = 2x + 6?
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document.write( "Thanks for the help! \n" );
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Algebra.Com's Answer #629495 by macston(5194)![]() ![]() You can put this solution on YOUR website! Parallel lines have the same slope. \n" ); document.write( ". \n" ); document.write( "y=mx+b, m=slope \n" ); document.write( ". \n" ); document.write( "y=2x+6, m=slope=2 \n" ); document.write( ". \n" ); document.write( "So parallel line will have the form: y=2x+b \n" ); document.write( ". \n" ); document.write( "To find b, use the point (4,2): \n" ); document.write( "x=4 and y=2 \n" ); document.write( ". \n" ); document.write( "y=2x+b \n" ); document.write( "2=2(4)+b \n" ); document.write( "2=8+b \n" ); document.write( "-6=b Use this in the equation for b. \n" ); document.write( ". \n" ); document.write( "y=2x+b \n" ); document.write( "y=2x-6 \n" ); document.write( ". \n" ); document.write( "ANSWER: Equation for the parallel line through (4,2) is y=2x-6 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |