Question

PQ has endpoints P(5,-3) and Q(2,4). whats the midpoint? whats the quadrant?

Answer 1

Midpoint has x=(5+2)/2= 7/2=3.5  and y= (-3+4)/2=1/2= 0.5

Midpoint is ( 3.5 , 0.5 )

the quadrant is  (7/4, 1/4)

Answer 2

Answer:  The required midpoint is (3.5, 0.5) and it lies in Quadrant 1.

Step-by-step explanation:  Given that a line segment PQ has endpoints P(5, -3) and Q(2, 4).

We are to find the midpoint of PQ and the quadrant in which it lies.

We know that

the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) are given by

$\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).$

Therefore, the required co-ordinates of the midpoint of PQ is given by

$\left(\dfrac{5+2}{2},\dfrac{-3+4}{2}\right)\\\\\\=\left(\dfrac{7}{2},\dfrac{1}{2}\right)\\\\=(3.5,0.5).$

Since both the co-ordinates are positive, so the midpoint lies in Quadrant 1.

Thus, the required midpoint is (3.5, 0.5) and it lies in Quadrant 1.