document.write( "Question 250706: Find an equation of a straight line that passes through the point (2,3) and is parallel to the line with equation 3x + 4y -8 = 0 \n" ); document.write( "
Algebra.Com's Answer #184772 by JimboP1977(311)\"\" \"About 
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First of all rearrange 3x+4y-8 = 0 into the form y=mx+c\r
\n" ); document.write( "\n" ); document.write( "4y = -3x+8
\n" ); document.write( "y = -3/4x + 2\r
\n" ); document.write( "\n" ); document.write( "Since we know that the second line is parallel to y = -3/4x + 2 then the gradient must be the same. The gradient is -3/4.\r
\n" ); document.write( "\n" ); document.write( "So we know that the second line is y=-3/4x + c . To find c we need to plug in the values of the point (2,3). 3 = -3/2 + c \r
\n" ); document.write( "\n" ); document.write( "Rearrange to find c = 3 + 3/2 = 9/2\r
\n" ); document.write( "\n" ); document.write( "So the equation is y = -3/4x + 9/2\r
\n" ); document.write( "\n" ); document.write( "If we plot the two lines we can see that they are parallel\r
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