Question

find the distance between each of the following pair of points (-1, 0) (0-3)
Give with explanation please ​

Answer 1

Answer:

The distance between the points (-1, 0) and (0, -3) is 2 units.

Step-by-step explanation:

Given points :

• (-1, 0)
• (0, -3)

Finding the distance between the points.

Using the distance formula :

$\sf \longrightarrow d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} }$

Where,

Co-ordinate of the first point

• $\sf {x}_{1} = -1$
• $\sf {x}_{2} = 0$

Co-ordinate of the second point :

• $\sf {y}_{1} = 0$
• $\sf {y}_{2} = -3$

Substitute the given values :

$\sf \longrightarrow d = \sqrt{ \bigg(0 - ( - 1) \bigg)^{2} + \bigg(( - 3) - 0 \bigg)^{2} }$

$\sf \longrightarrow d = \sqrt{(0 + 1 {)}^{2} + ( - 3 {)}^{2} }$

$\sf \longrightarrow d = \sqrt{1 + 9}$

$\sf \longrightarrow d = \sqrt{10}$

${ \therefore{ \underline{ \sf{The \: distance \: between \: the \: points (-1, 0) \: and \: (0, -3)\: is \sqrt{10} \: units}}}}$

Note behind :

• In a distance formula the co-ordinate of the first points are taken as $\sf {x}_{1}$ and $\sf {x}_{2}$ . Similarly the co-ordinate of the second point is mentioned as $\sf {y}_{1}$ and $\sf {y}_{2}$