document.write( "Question 890350: For the line segment whose endpoints are R (1, 2) and S (6, 7), find the y value for the point located 3 over 4 the distance from R to S. \n" ); document.write( "

Algebra.Com's Answer #538906 by josgarithmetic(39617) $\"\"$ $\"About$

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Line RS is $\"y-2=m%28x-1%29\"$ ,
\n" ); document.write( " $\"y-2=%28%287-2%29%2F%286-1%29%29%28x-1%29\"$
\n" ); document.write( " $\"y-2=%285%2F5%29%28x-1%29\"$
\n" ); document.write( " $\"y-2=x-1\"$
\n" ); document.write( " $\"y=x-1%2B2\"$
\n" ); document.write( " $\"y=x%2B1\"$ which contains all general points, (x,x+1).\r
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\n" ); document.write( "\n" ); document.write( "Which points are on that line AND $\"3%2F4\"$ of the distance from R to S?
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---Use of Distance Formula
\n" ); document.write( " $\"%283%2F4%29sqrt%2825%2B25%29=sqrt%28%28x-1%29%5E2%2B%28x-1%29%5E2%29\"$
\n" ); document.write( " $\"%283%2F4%29sqrt%282%2A25%29=sqrt%282%28x-1%29%5E2%29\"$
\n" ); document.write( " $\"5%283%2F4%29sqrt%282%29=%28x-1%29sqrt%282%29\"$ , which may be a oversimplification;
\n" ); document.write( "Divide both sides by $\"sqrt%282%29\"$ .
\n" ); document.write( " $\"%285%2A3%29%2F4=x-1\"$
\n" ); document.write( " $\"x=15%2F4%2B4%2F4\"$
\n" ); document.write( " $\"x=19%2F4\"$ ----Seems to be the value needed.\r
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\n" ); document.write( "\n" ); document.write( "Corresponding value for y:
\n" ); document.write( " $\"y=19%2F4%2B1\"$ , just using the equation of line RS
\n" ); document.write( " $\"y=19%2F4%2B4%2F4\"$
\n" ); document.write( " $\"highlight%28y=23%2F4%29\"$ ----ANSWER \n" ); document.write( "

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