Question

If (−10,−6) is the endpoint of a line segment, and (−8,−7) is its midpoint, find the other endpoint.

a) (−6,−5)
b) (−12,−2)
c) (−14,−4)
d) (−6,−8)

Answer 1

To find the other endpoint, we can use the formula for the midpoint of a line segment. Plugging in the given values, we find that the other endpoint is (-6, -8).

Step-by-step explanation:

To find the other endpoint, we can use the formula for the midpoint of a line segment. The formula is:

(x1 + x2) / 2 = x3

(y1 + y2) / 2 = y3

Plugging in the values (-8, -7) for (x3, y3) and (-10, -6) for (x1, y1), we get:

(-10 + x2) / 2 = -8

(-6 + y2) / 2 = -7

Simplifying, we have:

-10 + x2 = -16

-6 + y2 = -14

Adding 10 to both sides of the first equation, we find that x2 = -6. Subtracting 6 from both sides of the second equation, we find that y2 = -8.

Therefore, the other endpoint is (-6, -8), which corresponds to answer choice d).