document.write( "Question 27237: The equation of the line parallel to 3x-y=6 and passing through the point (3,2) is:
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document.write( "a) y=-1/3x+1
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document.write( "b) y=1/3x+3
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document.write( "c)y=3x+7
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document.write( "d)y=3x+11
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document.write( "e) y=3x-7\r
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document.write( "I need the step by step to solve this! \n" );
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Algebra.Com's Answer #14805 by rodriguezh2(15)![]() ![]() ![]() You can put this solution on YOUR website! The first step is to put the equation 3x - y =6 into y = mx + b form. \n" ); document.write( "Remember that m represents the slope of a line and b represents the y-intercept. \n" ); document.write( "So we solve for y \n" ); document.write( "3x - y = 6 (add y to both sides and subtract 6 from both sides) \n" ); document.write( "y = 3x - 6 \n" ); document.write( "Now we know that y = 3x - 6 is parallel to the line we want to find. Parallel lines have the same slopes (or m values). Therefore the slope is 3 in \n" ); document.write( "y = 3x - 6 and also the slope is 3 in the line we are looking for. \n" ); document.write( "We also know the line we are lookin for passes through point (3,2) \n" ); document.write( "[3 =x and 2 = y] \n" ); document.write( "We can use the formula \n" ); document.write( "(y - y1) = m(x - x1) \n" ); document.write( "(y - 2) = 3(x - 3) Now solve the equation for y \n" ); document.write( "(y - 2) = 3x - 9 Now add 2 to both sides \n" ); document.write( " y = 3x - 7 \n" ); document.write( "answer (e) \n" ); document.write( " |