Question

Find the relation between $x$ and $y$ if the points $A(x,y)B(-5,7)$ and $C(-4,5)$ are collinear.

Answer 1

A(x,y) B(-5,7) C(-4,5)

since points are colliner,

slope of line AB= slope of line BC

$\frac{7-y}{-5-x}=\frac{5-7}{-4+5}$ slope $=\frac{y_2-y_2}{x_2-x_1}$

7-y=10+2x

2x+y+3=0 is the required solution.