Question

state the coordinates of the midpoint of the line segment joining points A(5,-2) and B(7,10).

IF ANYONE GIVE RIGHT ANSWER I MAKE HIM BRAINLIEST.

Answer 1

Step-by-step explanation:

a+b/2

x=7+5/2=6

y=10-2/2=4

Answer 2

Answer:

Given :-

• The line segment joining points A(5 , - 2) and B(7 , 10).

To Find :-

• What is the co-ordinates of the mid-point of the line.

Formula Used :-

$\clubsuit$ Mid-Point Formula :

$\longrightarrow \sf\boxed{\bold{\pink{M =\: \bigg(\dfrac{x_1 + x_2}{2} , \dfrac{y_1 + y_2}{2}\bigg)}}}$

where,

• M = Mid-Point
• (x₁, x₂) = x co-ordinates
• (y ₁, y₂) = y co-ordinates

Solution :-

Given Points :-

$\bullet \: \: \sf A(5 , - 2)$

$\bullet \: \: \sf B(7 , 10)$

We get,

• x₁ = 5
• y₁ = - 2
• x₂ = 7
• y₂ = 10

According to the question by using the formula we get,

$\implies \sf M(x , y) =\: \bigg(\dfrac{5 + 7}{2} , \dfrac{- 2 + 10}{2}\bigg)$

$\implies \sf M(x , y) =\: \bigg(\dfrac{12}{2} , \dfrac{8}{2}\bigg)$

$\implies \sf M(x , y) =\: \bigg(\dfrac{\cancel{12}}{\cancel{2}} , \dfrac{\cancel{8}}{\cancel{2}}\bigg)$

$\implies \sf M(x , y) =\: \bigg(\dfrac{6}{1} , \dfrac{4}{1}\bigg)$

$\implies \sf\bold{\red{M(x , y) =\: (6 , 4)}}$

$\therefore$ The co-ordinates of the mid-point of the line segment is (6 , 4) .