document.write( "Question 42110This question is from textbook Begining Algebra
\n" ); document.write( ": Floor plans for a building have the four corners of a room located at the points (2,3),(11,6),(-3,18), and (8,21). Determine whether the side through the points (2,3) and (11,6) is perpendicular to the side through the points (2,3) and (-3,18). \n" ); document.write( "

Algebra.Com's Answer #27242 by tutorcecilia(2152) $\"\"$ $\"About$

You can put this solution on YOUR website!
The slopes are perpendicular if their slopes are negative reciprocals of each other.
\n" ); document.write( ".
\n" ); document.write( "For example: m1 is perpendicular to m2 because m1 = 2/1 and m2 = -(1/2).
\n" ); document.write( ".
\n" ); document.write( "First, find the slope of each set of coordinate points.
\n" ); document.write( "The formula for slope is:
\n" ); document.write( "delta y/delta x = (y1-y2)/(x1-x2):
\n" ); document.write( "The slope m1 of (2,3) and (11,6) = (3-6)/(2-11) = -3/-9 = 1/3
\n" ); document.write( ".
\n" ); document.write( "The slope of m2 of (2,3) and (-3,18) = (3-18)/2-(-3)= -15/5 = -3/1
\n" ); document.write( ".
\n" ); document.write( "The slopes are the negative reciprocals of each other:
\n" ); document.write( "1/3 is the negative reciprocal of -3/1.
\n" ); document.write( "Therefore, the lines are perpendicular. \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );