document.write( "Question 324899: Line 1 passes through the origin and the point (3,1). Line 2 has a slope of -2/3 and passes through the point (-1, 5). Where do theses two lines intersect?
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Algebra.Com's Answer #232676 by Fombitz(32388) $\"\"$ $\"About$

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Find the slope of line 1,
\n" ); document.write( " $\"m=%28y2-y1%29%2F%28x2-x1%29=%281-0%29%2F%283-0%29=1%2F3\"$
\n" ); document.write( "Line 1 is then,
\n" ); document.write( " $\"y-0=%281%2F3%29%28x-0%29\"$
\n" ); document.write( " $\"y=%281%2F3%29x\"$
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\n" ); document.write( "Line 2 is,
\n" ); document.write( " $\"y-5=-%282%2F3%29%28x%2B1%29\"$
\n" ); document.write( " $\"y=-%282%2F3%29x-2%2F3%2B15%2F3\"$
\n" ); document.write( " $\"y=-%282%2F3%29x%2B13%2F3\"$
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\n" ); document.write( "To find the intersection point, set the equations equal to each other,
\n" ); document.write( " $\"%281%2F3%29x=-%282%2F3%29x%2B13%2F3\"$
\n" ); document.write( " $\"x=13%2F3\"$
\n" ); document.write( "Then use either equation to solve for y,
\n" ); document.write( " $\"y=%281%2F3%29%2813%2F3%29\"$
\n" ); document.write( " $\"highlight%28+y=13%2F9%29\"$
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