Question

What is the distance between point A (-2, -1) and point B (3,2)?

V8

y

5

4

5 -4

2

3

4

5

V34

5

Answer 1

To find the distance between the two points \( A(-2, -1) \) and \( B(3, 2) \), we can use the distance formula, which is given by:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

Here, \((x_1, y_1) = (-2, -1)\) and \((x_2, y_2) = (3, 2)\). Plugging in the values:

\[
d = \sqrt{(3 - (-2))^2 + (2 - (-1))^2}
\]

This simplifies to:

\[
d = \sqrt{(3 + 2)^2 + (2 + 1)^2}
\]
\[
d = \sqrt{(5)^2 + (3)^2}
\]
\[
d = \sqrt{25 + 9}
\]
\[
d = \sqrt{34}
\]

Thus, the distance between point A and point B is \( \sqrt{34} \).