Hushar Mulga
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Find the distance between each of the following pairs of points. L(5, -8), M(-7, -3)

Find the distance between each of the following pairs of points. L(5, -8), M(-7, -3)

Answer:-

L(5, –8), M(–7, –3)

\[LM = \sqrt{\left( -7 –  5  \right)^2 + \left(- 3  + 8 \right)^2}\]

\[LM = \sqrt{\left( -7 –  5  \right)^2 + \left(- 3  + 8 \right)^2}\]

\[= \sqrt{{(-12)}^2 + \left(  5 \right)^2}\]

\[ = \sqrt{144 + 25} = \sqrt{169}\]

\[ = 13\]

https://youtu.be/BjxfxGmimTY
Chapter 5 Coordinate Geometry  Practice set 5.1  Find the distance between each of the following pairs of points. L(5, -8), M(-7, -3)

Explanation:-

The problem involves finding the distance between two points on a 2-dimensional plane, namely L(5, -8) and M(-7, -3).

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

LM = sqrt((x2 – x1)^2 + (y2 – y1)^2)

Plugging in the values for L(5, -8) and M(-7, -3):

LM = sqrt((-7 – 5)^2 + (-3 – (-8))^2) = sqrt((-12)^2 + (5)^2) = sqrt(144 + 25) = sqrt(169) = 13

Therefore, the distance between L and M is 13 units.