document.write( "Question 953387: In what ratio does line x-y-2=0 divide line segment joining the points (3,-1) and (8,9). Please help asap as i have my board maths exams on Monday \n" ); document.write( "

Algebra.Com's Answer #582177 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
First find the point of intersection.
\n" ); document.write( "The line going through the two points has a slope of
\n" ); document.write( " $\"m=%289-%28-1%29%29%2F%288-3%29=10%2F5=2\"$
\n" ); document.write( "So the equation of the line is,
\n" ); document.write( " $\"y-9=2%28x-8%29\"$
\n" ); document.write( " $\"y-9=2x-16\"$
\n" ); document.write( " $\"y=2x-7\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"x-%282x-7%29-2=0\"$
\n" ); document.write( " $\"x-2x%2B7-2=0\"$
\n" ); document.write( " $\"-x%2B5=0\"$
\n" ); document.write( " $\"x=5\"$
\n" ); document.write( "and
\n" ); document.write( " $\"y=2%285%29-7\"$
\n" ); document.write( " $\"y=10-7\"$
\n" ); document.write( " $\"y=3\"$
\n" ); document.write( "So the intersection point is (5,3).
\n" ); document.write( "Now you can use either the x values or y values to calculate the ratio.
\n" ); document.write( "X values,
\n" ); document.write( " $\"%285-3%29%2F%288-3%29=2%2F5\"$
\n" ); document.write( "Y values,
\n" ); document.write( " $\"%283-%28-1%29%29%2F%289-%28-1%29%29=4%2F10=2%2F5\"$
\n" ); document.write( "You will get the same answer.
\n" ); document.write( " $\"R=2%2F5\"$
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