Question

If the points A (x,y) , B (5,5) and C (10,7) are collinear , show that 5y-2x =15

Answer 1

$<marquee>Use this formula$

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x1 ( y2 - y3 ) + x2(y3-y1) + x3(y1 - y2) = 0

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Answer 2

Answer:

Explanation:It is given that A(x,y);B(5,5);C(10,7)

Area of triangle =1/2[x^1(y^2-y^3)+x^2(y^3-y^1)+x^3(y^2-y^1)]

0

=1/2[x(5-7)+5(7-y)+10(5-y)]

0=(-2x)+35-7y+50-10y

0=-2x+85-15y

0=-(2x-85+15y)

0=2x{3{15+5y)}

15=5y-2x

Hence proved