The coordinates of the mid-point of the line joining the points (-3,5) and (2,10) is given by?
A
( \(\frac{1}{2}\), \(\frac{15}{2}\) )
B
( \(\frac{1}{2}\), \(\frac{-15}{2}\) )
C
( \(\frac{-1}{2}\), \(\frac{-15}{2}\) )
D
( \(\frac{-1}{2}\), \(\frac{15}{2}\) )
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Given Data: x\(_1\) = -3, x\(_2\) = 2, y\(_1\) = 5, y\(_2\) = 10
coordinates of the mid-point of the line = (\(\frac{x_1 + x_2}{2}\) , \(\frac{y_1 + y_2}{2}\))
(\(\frac{-3 +2}{2}\) , \(\frac{5 + 10}{2}\))
= \(\frac{-1}{2}\)) , \(\frac{15}{2}\))
Source: WAEC / JAMB / NECO Classroom Archive (Record #64368)