document.write( "Question 583673: A line segment has endpoints at (-4,5) and (6,3). What is the equation of the line with slope 2/3 that passes though its midpoint?Please explain \n" ); document.write( "

Algebra.Com's Answer #372538 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
First find the midpoint of (-4,5), (6,3)
\n" ); document.write( "You find the midpoint of the x co-ordinates
\n" ); document.write( "and then the midpoint of the y co-ordinates
\n" ); document.write( "x[mid]: $\"+%28+6+-+4+%29%2F2+=+1+\"$
\n" ); document.write( "y[mid]: $\"+%28+3+%2B+5+%29%2F2+=+4+\"$
\n" ); document.write( "The midpoint is at (1,4)
\n" ); document.write( "You can use the point-slope formula:
\n" ); document.write( " $\"+%28+y+-+4+%29+%2F+%28+x+-+1+%29+=+2%2F3+\"$
\n" ); document.write( " $\"+3%2A%28+y+-+4+%29+=+2%2A%28+x+-+1+%29+\"$
\n" ); document.write( " $\"+3y+-+12+=+2x+-+2+\"$
\n" ); document.write( " $\"+3y+=+2x+%2B+10+\"$
\n" ); document.write( " $\"+y+=+%282%2F3%29%2Ax+%2B+10%2F3+\"$
\n" ); document.write( "check:
\n" ); document.write( "Does it go through (1,4)?
\n" ); document.write( " $\"+4+=+%282%2F3%29%2A1+%2B+10%2F3+\"$
\n" ); document.write( " $\"+4+=+12%2F3+\"$
\n" ); document.write( " $\"+12+=+12+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );