The answer is (-0.5, 2.25).
Explanation:
A = (0,4)
B = (-2,-3)
The line joining the two points from A to B can be represented as a vector:
r (x) = A + x*(B - A) , where 0<= x <= 1
Now, r (x) can be written as:
r (x) = (0,4) + x[ (-2,-3) - (0,4) ] = (0,4) + x (-2,-7)
Assuming x to be 1/4 (given)
x(1/4) = (0,4) + 1/4* (-2,-7) = (0 -1/2, 4 -7/4) = (-1/2, 9/4)
= (−0.5, 2.25)
Solution
Find the mid point of A and B.
The mid point of A and B is (-1. 0.5)
Now find mid point of (0, 4) and (-1, 0.5)
= [(0 + (-1)/2 , (4 +0.5)/2 ]
= (-1/2, 4.5/2)
= (-0.5, 2.25)
The answer is (-0.5, 2.25)
Thank you.
