Question

4) A line segment has endpoints at (-3,-5) and

(6, 1). In which quadrant does the midpoint of
the segment lie?
A. I
B. II
C. III
D. IV

Answer 1

D

Explanation:

To find the midpoint (x,y) we simple find the averages of the x and y coordinates of the points given. That means:

We sum the x coordinates of both the points and divide by 2, that the midpoint's x coordinate, AND

We sum the y coordinates of both the points and divide by 2, that's the midpoint's y coordinate,

Hence,

x = (-3+6)/2 = 3/2

y = (-5+1)/2 = -2

The midpoint is (3/2, -2)

** If x point is positive and y point is negative, this point will fall on 4th quadrant.

Answer is D