Question

A line segment has endpoints of (-2,6) and
(-4,-9). What is the midpoint of the line
segment?

Answer 1

Answer:

(-3, -1.5)

Step-by-step explanation:

Given:

• Endpoint₁: (-2, 6)
• Endpoint₂: (-4, -9)

$\boxed{\text{Midpoint of a line segment:} \ \huge\text(\dfrac{x_1 + x_2}{2} ,\dfrac{y_1 + y_2}{2} \text)}$

Substitute the endpoints of the line segment in the midpoint:

$\implies \huge\text[\dfrac{-2 + (-4)}{2} ,\dfrac{6 + (-9)}{2} \text]$

Simplify the coordinates in the midpoint:

$\implies \huge\text[\dfrac{-2 - 4}{2} ,\dfrac{6 - 9}{2} \text] \implies \huge\text[\dfrac{-6}{2} ,\dfrac{-3}{2} \text]\implies \huge\text[-3 ,-1.5 \text]$

Thus, the coordinate of the midpoint is (-3, -1.5)