Question

If the point (x,y), (2,3) and (-2,4) are collinear. then prove that x+2y=8.

Answer 1

let a, b, c be the points given
line passing through a,b & b,c & a,c have same slope because the three points are collinear

equate slopes of any two


$\frac{3 - y}{2 - x} = \frac{4 - 3}{ - 2 - 2 } \\ \frac{3 - y}{2 - x} = \frac{1}{ - 4} \\ - 4.(3 - y) =1. (2 - x) \\ - 12 + 4y = 2 - x \\ x + 4y = 14$
This is the actual answer,

I think you made a mistake in the given question. however the approach to solve such kind of problems is same

If any doubts, comment. ;)(

please correct the question and comment, I'll give the solution