Question

Find the mid-point of the line segment made by joining the points (3, 2) and (6,4)

Answer 1

Midpoints of the line segment joining the points P(3,4)and Q(5,-2) are (4 ,1) .

Step-by-step explanation:

Formula

Mid\ points =( \frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2} )Mid points=(

2

x

1

+x

2

,

2

y

1

+y

2

)

As given

line segment joining the points P(3,4)and Q(5,-2) .

x_{1} = 3x

1

=3

x_{2} = 5x

2

=5

y_{1} = 4y

1

=4

y_{2} = -2y

2

=−2

Put all the values in the formula

Mid\ points =(\frac{3+5}{2} , \frac{4-2}{2})Mid points=(

2

3+5

,

2

4−2

)

Mid\ points =(\frac{8}{2} , \frac{2}{2})Mid points=(

2

8

,

2

2

)

Midpoints = (4 , 1)

Therefore the midpoints of the line segment joining the points P(3,4)and Q(5,-2) are (4 ,1) .

Answer 2

Answer:

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