document.write( "Question 70191: Find the equation of the line which is parallel to 3x – 2y = 6 and passes through the point (1,2).
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Algebra.Com's Answer #50157 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Find the equation of the line which is parallel to 3x – 2y = 6 and passes through the point (1,2). \n" ); document.write( ": \n" ); document.write( "Arrange the equation into the \"y=\" form, called the y intercept form, y = mx + b \n" ); document.write( "3x - 2y = 6 \n" ); document.write( "-2y = 6 - 3x \n" ); document.write( "We want y to be positive, mult equation by -1 \n" ); document.write( "2y = 3x - 6 \n" ); document.write( ": \n" ); document.write( "Divide equation by 2 \n" ); document.write( "y = (3/2)x - 6/2 \n" ); document.write( "y = 1.5x - 3 \n" ); document.write( ": \n" ); document.write( "The slope (m) = +1.5, we know that parallel lines have the same slope so using: \n" ); document.write( "point/slope equation and the given points of x1 = 1, y1 = 2, m = 1.5 \n" ); document.write( ": \n" ); document.write( "y - y1 = m(x - x1 \n" ); document.write( "y - 2 = 1.5(x - 1) \n" ); document.write( "y - 2 = 1.5x - 1.5 \n" ); document.write( "y = 1.5x - 1.5 + 2 \n" ); document.write( "y = 1.5x + .5 is parallel and passes thru 1,2 \n" ); document.write( " |