Question

Question:- Find the distance between the points A(4, -3) and B( -4,3). Please solve the question according to Co-ordinate Geometry.

Answer 1

The distance is between point A(4, -3) and B( -4,3) is 10 units.

Step-by-step explanation

Given: A(4, -3) and B( -4,3).

To find the distance between the two points, we will use the formula below:

`|d|=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

From the points given,

x₁ = 4 y₁ = -3 x₂=-4 y₂=3

Substitute the formula into the equation and evaluate.

`|AB|=\sqrt[]{(-4-4)^2+(3+3)^2}`
`=\sqrt[]{(-8)^2+(6)^2}`
`=\sqrt[]{64+36}`
`=\sqrt[]{100}`
`=10`

Hence, the distance is between point A(4, -3) and B( -4,3) is 10 units.