document.write( "Question 78573: Geometry. For the floor plans given in exercise 27, determine whether the side
\n" ); document.write( "through the points (2, 3) and (11, 6) is perpendicular to the side through the points
\n" ); document.write( "(2, 3) and (-3, 18). \n" ); document.write( "

Algebra.Com's Answer #56391 by checkley75(3666) $\"\"$ $\"About$

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we need to find the slopes of these two lines to prove if they are perpendicular. Thus:
\n" ); document.write( "(6-3)/(11-2)=3/9=1/3 for the slope through the first set of points.
\n" ); document.write( "the formula for this line is:
\n" ); document.write( "3=2/3+b
\n" ); document.write( "b=3-2/3
\n" ); document.write( "b=7/3 or
\n" ); document.write( "y=x/3+7/3 (red line)
\n" ); document.write( "(18-3)/(-3-2)=15/-5=-3 this slope is the negative reciprical of the first slope.
\n" ); document.write( "3=-3*2+b
\n" ); document.write( "3=-6+b
\n" ); document.write( "b=3+6
\n" ); document.write( "b=9
\n" ); document.write( "y=-3x+9 (green line)
\n" ); document.write( "Therefore these lines are perpendicular as proven by the following graph-
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y+=+x%2F3+%2B7%2F3%2C+y+=+-3x+%2B9%29+\"$ (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions y = x/3 +7/3 and y = -3x +9).
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