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]

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.