Question

Find the midpoint of the segment with the given endpoints.


M(–2, 1) and N(–3, 2)


A (–0.5, –0.5)

B (0.5, –0.5)

C (–3, –5)

D (–2.5, 1.5)

Answer 1

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\ \quad \\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &M&(~{{ -2}} &,&{{ 1}}~) % (c,d) &N&(~{{ -3}} &,&{{ 2}}~) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right) \\\\\\ \left( \cfrac{-2-2}{2}~~,~~\cfrac{2+1}{2} \right)\implies \left(\cfrac{-4}{2}~~,~~\cfrac{3}{2} \right)\implies \left(-2~~,~~1\frac{1}{2} \right)$

Answer 2

The given points are:
(-2,1) and (-3,2)

The x-coordinate of the midpoint can be calculated as follows:
Xmidpoint = (x1+x2) / 2
Xmidpoint = (-2-3) / 2 = -2.5

The y-coordinate of the midpoint can be calculated as follows:
Ymidpoint = (y1+y2) / 2
Ymidpoint = (1+2) / 2 = 1.5

Therefore, the midpoint of the segment is (-2.5 , 1.5)
Comparing this with the choices, we will find that the correct choice is D