Find the slope of the diagonals of a quadrilateral with vertices A(1,7), B(6,3), C(0,-3) and D(-3,3).
Answers
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Final Answer : 10, 0
Logic Used :
1# Slope = (y(2)-y(1)) /(x(2)-x(1))
where,x,y these are respective co-ordinates of points on line.
Steps:
1) Diagonals are : AC & BD
We have,
A = (1,7) : B = (6,3) : C = (0,-3) : D = (-3,3)
Slope of AC :
![\frac{(7) - ( - 3)}{ 1 - 0} = 10 \frac{(7) - ( - 3)}{ 1 - 0} = 10](https://tex.z-dn.net/?f=+%5Cfrac%7B%287%29+-+%28+-+3%29%7D%7B+1+-+0%7D+%3D+10)
Slope of BD :
![\frac{3 - 3}{6 - ( - 3)} = 0 \frac{3 - 3}{6 - ( - 3)} = 0](https://tex.z-dn.net/?f=+%5Cfrac%7B3+-+3%7D%7B6+-+%28+-+3%29%7D+%3D+0)
Hence, we got required slopes as 10 & 0.
Logic Used :
1# Slope = (y(2)-y(1)) /(x(2)-x(1))
where,x,y these are respective co-ordinates of points on line.
Steps:
1) Diagonals are : AC & BD
We have,
A = (1,7) : B = (6,3) : C = (0,-3) : D = (-3,3)
Slope of AC :
Slope of BD :
Hence, we got required slopes as 10 & 0.
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adarshaj:
Thx bro
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