Question

Please answer this type question?
Please answer fast
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Answer 1

Answer:

-3

Step-by-step explanation:

Given :

Given two points are (let it be named as A and B)

• A (4, 5)
• B (a, 3)

The midpoint of line joining A and B is (1/2, 4)

To find :

The value of A

Solution :

We know that, if A(x₁, y₁) and B(x₂, y₂) are the two  points then its Midpoint M is given by

$\boxed{M(x, y) : x = \dfrac{x_1+x_2}{2} \ ;\ y =\dfrac{y_1+y_2}{2} }$

As we need to find the x-coordinate of Point B, so let us just take the x - coordinates of A and B

$: \longmapsto \dfrac{1}{2} = \dfrac{4 + a}{2}$

$: \longmapsto 1 = 4+a$

$: \longmapsto a = -3$

$\therefore \underline {\boxed{\mathbf {a = -3}}}$

Hope it helps

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