Question

15. State the coordinates of the midpoint of the line segment joining points A (5. -2) and B(7. 10).​

Answer 1

Answer:

6, 4

Step-by-step explanation:

Given that the coordinates of the midpoint of the line segments joining points A(5, -2) and B(7, 10). We need to find out it's coordinates.

Let's say that the mid points are "X" and "Y".

Coordinates of the midpoints of the line segments joining points is given by (x1 + x2)/2, (y1 + y2)/2. Where the value of x1 is 5, x2 is 7, y1 is -2 and y2 is 10.

Mid points = (x1 + x2)/2, (y1 + y2)/2

Substitute value of x1, x2, y1 and y2 in above formula,

→ X, Y = (5 + 7)/2, (-2 + 10)/2

→ X, Y = 12/2, 8/2

On solving we get,

→ X, Y = 6, 4

Therefore, the coordinates of the midpoint of the line segment joining points A (5, -2) and B(7, 10) is 6, 4.

Answer 2

Answer:

Hola

hope it helps (~‾▿‾)~

Step-by-step explanation:

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 :-.

Mid-Point Formula :

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

where,

= Mid-Point

(x₁, x₂) = x co-ordinates

(y ₁, y₂) = y co-ordinates

Solution :-

Given Points :-

$\bullet \: \: \sf A(5 , - 2)∙A(5,−2) \\ \bullet \: \: \sf B(7 , 10)∙B(7,10)$

We get,

x₁ = 5

y₁ = - 2

x₂ = 7

y₂ = 10

According to the question by using the formula we get,

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

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

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

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

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

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