Calculate the distance between points L(-1, -6) and M(-3, -5)
-
A.
√5 -
B.
2√3 -
C.
√20 -
D.
√50
Correct Answer: Option A
Explanation
L(begin{pmatrix} x_1 & y_1 \ -1 & -6 end{pmatrix}) m L(begin{pmatrix} x_2 & y_2 \ -3 & -5 end{pmatrix})
D = (sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2})
D = (sqrt{(-3 – (-1)^2 + (-5 -(-6)^2})
D = (sqrt{(-3 + 1)^2 + (-5 + 6)^2})
D = (sqrt{(-2)^2 + 1^2})
D = (sqrt{4 + 1})
D = (sqrt{5})