Question

Find the midpoint of the line segment that joins points P(-4,3) and Q(9,14)?

Answer 1

Given the following points:

Point P: (-4, 3)

Point Q: (9, 14)

To be able to find the midpoint of the line segment, we will be using the following formula:

$\text{ Midpoint = }\frac{x_1+x_2}{2},\frac{y_1+y_2_{}}{2}$

We get,

$\text{ Midpoint = }\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}$$\text{= }\frac{(-4)+(9)_{}}{2},\frac{3_{}+14_{}}{2}$$\text{ = }\frac{5}{2},\frac{17}{2}$

Therefore, the midpoint of the line segment is 5/2, 17/2.