Question

A line segment has endpoints of (-2,6) and

(-4,-9). What is the midpoint of the line
segment?

Answer 1

(-3, -1.5)

Explanation:

Given:

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

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

Substitute the endpoints of the line segment in the midpoint:

`\implies \huge\text[(-2 + (-4))/(2) ,(6 + (-9))/(2) \text]`

Simplify the coordinates in the midpoint:

`\implies \huge\text[(-2 - 4)/(2) ,(6 - 9)/(2) \text] \implies \huge\text[(-6)/(2) ,(-3)/(2) \text]\implies \huge\text[-3 ,-1.5 \text]`

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