document.write( "Question 111543: Find the equation of the line that passes through the points (-3.2, 8) and (14.7, -1).
\n" ); document.write( " Find the equation of the line that is parallel to the line in a) and passes through the origin.
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Algebra.Com's Answer #81338 by solver91311(24713) $\"\"$ $\"About$

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You need to use the two-point form of a line for the first part of the problem.
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\n" ); document.write( " $\"y-y%5B1%5D=%28%28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29%29%28x-x%5B1%5D%29\"$
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\n" ); document.write( " $\"y-8=%28%288-%28-1%29%29%2F%28-3.2-14.7%29%29%28x-%28-3.2%29%29\"$
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\n" ); document.write( "And then simplify to the slope-intercept form
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\n" ); document.write( " $\"y-8=-%289%2F17.9%29%28x%2B3.2%29\"$
\n" ); document.write( ":
\n" ); document.write( " $\"y=-%289%2F17.9%29x-%289%2F17.9%293.2%2B8%29\"$
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\n" ); document.write( "Parallel lines have equal slopes, and a line that passes through the origin has a y-intercept of 0, so:
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\n" ); document.write( " $\"y=-%289%2F17.9%29x\"$ has the same slope and passes through the origin. \n" ); document.write( "

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