Question

Points A, B, and C are collinear and AB:AC= 2/5Point 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?

Answer 1

So, for this problem you have to divide a segment of line at a given rate,

In this case, the segment is AC and B is the point that the segment is divided,

the formula is: x=x1 +r x2/ (1+r) and y=y1+ry2/(1+r) r=2/5 and for this case if you substitute the data provided you get

n=-3 and q=38/7