document.write( "Question 571224: How do I write an equation in slope intercept form for the line that passes through (5,6) and is parallel to the line described by 4x - 5y = 20 \n" ); document.write( "
Algebra.Com's Answer #368017 by nerdybill(7384)\"\" \"About 
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How do I write an equation in slope intercept form for the line that passes through (5,6) and is parallel to the line described by 4x - 5y = 20
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\n" ); document.write( "First, determine slope of
\n" ); document.write( "4x - 5y = 20
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\n" ); document.write( "do this by putting it into slope-intercept form y=mx+b:
\n" ); document.write( "4x - 5y = 20
\n" ); document.write( "-5y = -4x + 20
\n" ); document.write( "5y = 4x - 20
\n" ); document.write( "y = (4/5)x - 16
\n" ); document.write( "slope is 4/5
\n" ); document.write( "since the new line is parallel it must have the same slope.
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\n" ); document.write( "Plug the slope (4/5) and the given point (5,6) into the point-slope form:
\n" ); document.write( "y - y1 = m(x - x1)
\n" ); document.write( "y - 6 = (4/5)(x - 5)
\n" ); document.write( "y - 6 = (4/5)x - 4
\n" ); document.write( "y = (4/5)x - 4 + 6
\n" ); document.write( "y = (4/5)x + 2 (this is what they're looking for)\r
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