On a number line the endpoints of ABbar are 2 and 4 Find the

On a number line, the endpoints of AB^bar are -2 and 4. Find the coordinate of point Q that partitions the segment in the ratio 3: 1.

Solution

The point P (say) divides the line segment made by (a,0) and (c,0) in the ratio m:n is given by ( (mc+na)/(m+n) , 0 )

Therefore Q = ( (3(4) + 1(-2))/(3+1) )

implies Q = 2.5