Question

If P (x,y) q(3,4) and r( -5,-6) are collinear then show that 5x +1=4y

Answer 1

Answer:

Slope of PR= ( -6-y ) / ( -5-x )

Slope of QR = ( -6-4 ) / ( -5-3)

These slopes are equal as they are collinear.

i.e

( -6-y ) / ( -5-x ) = - 10 / -8

or, 8 * ( -6-y ) = 10 * ( -5-x )

or, -48 -8y = -50 -10x

or, 10 x - 8y = -50 + 48

or, 10 x - 8 y = -2

or, 5x - 4y = -1

----> 5x + 1 = 4y

Proved.

MARK AS BRAINLIEST