SOLUTION: Find the slope of the sides of rectangle ABCD having vertices A=(1,4) and B=(-5,3).

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Question 37611: Find the slope of the sides of rectangle ABCD having vertices A=(1,4) and
B=(-5,3).

Found 2 solutions by venugopalramana, josmiceli:
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of the sides of rectangle ABCD having vertices A=(1,4)=(X1,Y1) and
B=(-5,3)=(X2,Y2)
SLOPE OF AB =(Y2-Y1)/(X2-X1)=(3-4)/(-5-1)=-1/-6=1/6
IN A RECTANGLE OPPOSITE SIDES ARE PARALLEL AND ADJACENT SIDES ARE PERPENDICULAR.HENCE
SLOPE OF CD=1/6
SLOPE BC=SLOPE OF AD =-1/(1/6)=-6

Answer by josmiceli(3359) About Me  (Show Source):
You can put this solution on YOUR website!
You don't have to get into the size of the rectangle or where the other 2 vertices are located. All you need to know is that 2 sides are parallel and the other 2
sides are perpendicular to them.
P = (x,y)
P(1) = (-5,3)
P(2) = (1,4)
m+=+%28y%282%29+-+y%281%29%29+%2F+%28x%282%29+-+x%281%29%29 where m = slope
m+=+%284+-+3%29+%2F+%281+-+%28-5%29%29
m+=+1%2F6
the slope perpendicular to this is
m%28p%29+=+-+1%2Fm
m%28p%29+=+-6
the graph is of point (-5,3) with the perpendicular sides going through the point
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2F6%29%2Ax+%2B+23%2F6%2C+-6%2Ax+-27%29+