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.