Question

the mid point of the line segment joining A(p,5) and B(3,q) is M(-1,4). find the value of p and q
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Answer 1

Answer

We have the midpoint of the line segment joining the points P(5,b−3) and Q(−3,4) is

(

2

5+3

,

2

b−3+4

)=(4,

2

b+1

).

According to the problem this mid-point is (4,2).

Then we have,

2

b+1

=2

or, b+1=4

or, b=3.