document.write( "Question 585405: find the answer to this eqution find an equation of the line. through (-2,-8); paralelle to 3x+2y=5 \n" ); document.write( "
Algebra.Com's Answer #373339 by Schaman_Dempster(26)\"\" \"About 
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Given equation of line is: 3x + 2y = 5
\n" ); document.write( "Let us transform this into slope intercept form: y = mx + b\r
\n" ); document.write( "\n" ); document.write( "2y = 5 - 3x
\n" ); document.write( "or y = -3x/2 + 5/2
\n" ); document.write( "Comparing it with slope-intercept form: y= mx + b
\n" ); document.write( "Slope = m = -3/2\r
\n" ); document.write( "\n" ); document.write( "If two lines are parallel, then they have equal slopes.\r
\n" ); document.write( "\n" ); document.write( "So, the slope of the line parallel to 3x + 2y = 5 is -3/2
\n" ); document.write( "Using slope-intercept form, we can write the equation of a new line can be written as:
\n" ); document.write( "y = mx + b
\n" ); document.write( "y = -3x/2 + b\r
\n" ); document.write( "\n" ); document.write( "Since this line also passes through (-2,-8)
\n" ); document.write( "Therefore,
\n" ); document.write( " -8 = (-3)*(-2)/2 + b
\n" ); document.write( " -8 = 3 + b
\n" ); document.write( " b = -8 -3
\n" ); document.write( " b = -11\r
\n" ); document.write( "\n" ); document.write( "Hence the equation of the line parallel to 3x + 2y =5 is:
\n" ); document.write( " y = -3x/2 - 11
\n" ); document.write( "or 2y = - 3x - 22 { Multiplying both the sides by 2}
\n" ); document.write( "or 3x + 2y + 22 = 0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps~! \n" ); document.write( "
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