Points A, B, and C are collinear and AB:AC = 2/5. Point A is located at (-3,6), point B is located at (n,q), and point C is located at (-3,-4). What are the values of n and q?

since they are collinear and x coordinates af A and C are -3 hence N=-3 .. now AB/AC=2/5 but AC = y co ord of A - Y coord of C = 6 - (-4)=10 implies 6-Q/10 = 2/5 hence 6-Q=4 ANd Q=2 (N,Q) = (-3,2)