Question

If the points $A(x,2),B(-3,-4),C(7,-5)$ are collinear, then find the value of $x$.

Answer 1

$A(X,2)$ $B(-3,-4)$ $C(7,-5)$

$x=?$

slope AB = slope BC = slope AC

$\frac{-3-x}{-4-2}=\frac{7+3}{-5+4}=\frac{7-x}{-5-2}$

$\frac{x+3}{6}=-10=\frac{x-7}{7}$

$x=-63$