document.write( "Question 877360: write the equation of the line parallel to the line give by 3x-2y=8 and having the same y intercept as the line given by 2x+3y=-4 \n" ); document.write( "
Algebra.Com's Answer #529317 by nerdybill(7384)\"\" \"About 
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write the equation of the line parallel to the line give by 3x-2y=8 and having the same y intercept as the line given by 2x+3y=-4
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\n" ); document.write( "slope of:
\n" ); document.write( "3x-2y=8
\n" ); document.write( "3x = 2y+8
\n" ); document.write( "3x-8 = 2y
\n" ); document.write( "(3/2)x - 4 = y
\n" ); document.write( "slope (because of \"slope-intercept\" form) is:
\n" ); document.write( "m = 3/2
\n" ); document.write( "The new line, since it is parallel, must also have a slope of 3/2
\n" ); document.write( ".
\n" ); document.write( "y-intercept of:
\n" ); document.write( "2x+3y=-4
\n" ); document.write( "3y = -2x-4
\n" ); document.write( "y = (-2/3)x - 4/3
\n" ); document.write( "y-intercept is -4/3
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\n" ); document.write( "new line has slope of 3/2 and y-intercept of -4/3
\n" ); document.write( "plug into \"slope-intercept\" form:
\n" ); document.write( "y = mx + b
\n" ); document.write( "y = (3/2)x - 4/3 (answer)
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