Question

if m is the midpoint of the line segment joining p(3, 4) and q(7, 6) then co-ordinates at point m are...​

Answer 1

Answer:

m( 5 , 5 )

Step-by-step explanation:

$p(3 \: \: \: \: \: \: 4) \\ \\ q(7 \: \: \: \: \: \: \: 6) \\ \\ m( \frac{3 + 7}{2} \: \: \: \: \: \: \: \: \: \frac{4 + 6}{2} ) \\ \\ m(5 \: \: \: \: \: \: \: \: \: 5).$

Answer 2

( 5  , 5 ) is Mid point  of the line segment joining p(3, 4) and q(7, 6)

Given:

• p(3 , 4)
• q(7 , 6)

To Find:

• Mid point  of the line segment joining p and q

Solution:

Step 1 :

Mid point of points (x₁ , y₁)  and (x₂ , y₂) is given by:

(x₁ + x₂)/2 , (y₁ + y₂)/2

Step 2 :

Use the mid point formula and substitute x₁=3 ,   x₂=7 and y₁=4 ,   y₂=6

(3 + 7)/2 , (4 + 6)/2

= 10/2 , 10/2

=( 5  , 5 )

Hence, Mid point  of the line segment joining p and q is ( 5  , 5 )