Question

The midpoint of A (-4, 2) and B(8, 5) is

Answer 1

$\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -4}}\quad ,&{{ 2}})\quad % (c,d) &({{ 8}}\quad ,&{{ 5}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right) \\\\\\ \left(\cfrac{{{ 8}} -4}{2}\quad ,\quad \cfrac{{{ 5}} + {{ 2}}}{2} \right)$

Answer 2

Answer:  The midpoint of the points A(-4, 2) and B(8, 5) is M(2, 3.5).

Step-by-step explanation:  We are given to find the midpoint of the points A(-4, 2) and B(8, 5).

We know that

the co-ordinates of the midpoint of the points (a, b) and (c, d) are given by

$M=\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).$

Therefore, the co-ordinates of the midpoint of the points (-4, 2) and B(8, 5) will be

$M=\left(\dfrac{-4+8}{2},\dfrac{2+5}{2}\right)=\left(\dfrac{4}{2},\dfrac{7}{2}\right)=(2,3.5).$

Thus, the midpoint of the points A(-4, 2) and B(8, 5) is M(2, 3.5).