Question

Find the midpoint of the line segment with the given endpoints: (-7,8), (-2,-9).

Option A: M(-3.5, 1.5)
Option B: M(-4.5, -0.5)
Option C: M(-5, 3.5)
Option D: M(2.5, 3)

Answer 1

The midpoint of the line segment with endpoints (-7, 8) and (-2, -9) is M(-4.5, -0.5), which is option B.

Step-by-step explanation:

The correct answer is option B: M(-4.5, -0.5).

To find the midpoint of a line segment with given endpoints, we use the midpoint formula, which is ( (x1 + x2)/2, (y1 + y2)/2 ). In this case, the endpoints are (-7, 8) and (-2, -9).

The midpoint's x-coordinate is ((-7) + (-2))/2 = -9/2 = -4.5, and the midpoint's y-coordinate is ((8) + (-9))/2 = -1/2 = -0.5. Therefore, the midpoint of the line segment is M(-4.5, -0.5), which corresponds to option B.

The correct answer is option A: M(-3.5, 1.5).

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

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Using the given endpoints (-7,8) and (-2,-9), we can substitute the values into the formula:

x1 = -7, x2 = -2, y1 = 8, y2 = -9

Midpoint = ((-7 + -2)/2, (8 + -9)/2) = (-9/2, -1/2) = (-4.5, -0.5)

Therefore, the midpoint of the line segment is (-4.5, -0.5), which corresponds to option B.