Find the relation between x and y if the points A(x, y), B(– 5, 7) and C(– 4, 5) are collinear distance formula

Dear Student,

Let A(x1 = xy1 = y), B(x2 = −5, y2 = 7) and C(x3 = −4, y3 = 5) be the given points.
The given points are collinear if
x1y2-y3+x2y3-y1+x3y1-y2=0x7-5+-55-y+-4y-7=07x-5x-25+5y-4y+28=02x+y+3=0

Regards!
Hence, the required relation is 2x + y + 3 = 0.

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