Question

What are the coordinates of the midpoint of the line segment RS¯¯¯¯¯ with endpoints R(4,8) and S(−8,−12)?

A) (0, 0)
B) (-2, -2)
C) (-2, -4)
D) (2, 2)

Answer 1

The coordinates of the midpoint between R(4,8) and S(−8,−12) are found using the midpoint formula, resulting in M = (−2, −2). The correct answer is option B) (−2, −2).

Step-by-step explanation:

The coordinates of the midpoint of the line segment with endpoints R(4,8) and S(−8,−12) can be found using the midpoint formula, which is ((x1 + x2)/2, (y1 + y2)/2). In this case, the coordinates of R are (4,8) and the coordinates of S are (−8,−12). Plugging these into the formula we get:

Midpoint M = ((4 + (−8))/2, (8 + (−12))/2) which simplifies to M = ((−4)/2, (−4)/2). This results in the midpoint M having coordinates (−2,−2).

Therefore, the correct answer is option B) (−2, −2).