Question

P is located at (8,7), and Q is located at (-6,-3) on the coordinate plane. what coordinate represents the midpoint of segment PQ?

Answer 1

To find the mid-point, we will use the formula;

$(x_m,y_m)\text{ =(}\frac{x_1+x_2}{2},\text{ }\frac{y_1+y_2}{2})$

From the question;

x₁ = 8 y₁ = 7 x₂ = -6 y₂ = -3

substituting into the formula;

$(x_m,y_m)\text{ =(}\frac{8-6}{2},\text{ }\frac{7-3}{2})$

(Xm, Ym) = (1 , 2)

Hence the coordinates of the mid-point are (1, 2)