document.write( "Question 364435: Find the slope-intercept equation of the line parallel to the line 12x + 3y = 15 and containing the point (–1, 7). Explain and show work. \n" ); document.write( "

Algebra.Com's Answer #259848 by Fombitz(32388) $\"\"$ $\"About$

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First find the slope of the first line by converting to slope-intercept form, $\"y=mx%2Bb\"$ .
\n" ); document.write( " $\"12x%2B3y=15\"$
\n" ); document.write( " $\"3y=-12x%2B15\"$
\n" ); document.write( " $\"y=-4x%2B5\"$
\n" ); document.write( " $\"m=-4\"$
\n" ); document.write( "Parallel lines have identical slopes,
\n" ); document.write( " $\"m%5B1%5D=m%5B2%5D=-4\"$
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\n" ); document.write( " $\"y=-4x%2Bb\"$
\n" ); document.write( "Use the point (-1,7) to solve for $\"b\"$ .
\n" ); document.write( " $\"7=-4%28-1%29%2Bb\"$
\n" ); document.write( " $\"b=3\"$
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\n" ); document.write( " $\"highlight_green%28y=-4x%2B3%29\"$
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