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प्रश्न
Find the slope of the line passing through the points A(4,7) and B(2,3).
उत्तर
A ≡ (4,7) ≡ (x1, y1) and B ≡ (2,3) ≡ (x2, y2)
`"Slope of line AB "=(("y"_2-"y"_1))/(("x"_2-"x"_1))=(3-7)/(2-4)=(-4)/-2=2`
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Solution:
Slope of line = `("y"_2 - "y"_1)/("x"_2 - "x"_1)`
∴ Slope of line AB = `(2 - 1)/(8 - 6) = square` .......(i)
∴ Slope of line BC = `(4 - 2)/(9 - 8) = square` .....(ii)
∴ Slope of line CD = `(3 - 4)/(7 - 9) = square` .....(iii)
∴ Slope of line DA = `(3 - 1)/(7 - 6) = square` .....(iv)
∴ Slope of line AB = `square` ......[From (i) and (iii)]
∴ line AB || line CD
∴ Slope of line BC = `square` ......[From (ii) and (iv)]
∴ line BC || line DA
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∴ `square`ABCD is a parallelogram.
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