Question

determine the distance between the two points (-2,-3) and (1,1)

Answer 1

Let (-2, -3) represent A and (1, 1) represent B.

$d_A_B} =\sqrt{(X_A - X_B)^2 + (Y_A - Y_B)^2}$

$d_A_B} =\sqrt{(-2 - 1)^2 + (-3 - 1)^2}$

$d_A_B} =\sqrt{(-3)^2 + (-4)^2}$

$d_A_B} =\sqrt{(9 +16}$

$d_A_B} =\sqrt{(25}$

$d_A_B}$ = 5

Answer: 5 units

Answer 2

We have the formula $\sqrt{(-2-1)^{2}+(-3-1)^{2}} =\sqrt{9+16} =\sqrt{25} = 5.$