Question

Find the distance between the pair of points. Round to the nearest tenth.

Point A is (-1, 4)

Point B is (2, -3)

Answer 1

To find the distance between the pair of points \( A(-1, 4) \) and \( B(2, -3) \), we can use the distance formula:

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

Here, \( (x_1, y_1) \) is point \( A \) and \( (x_2, y_2) \) is point \( B \). Plugging in the coordinates:

- \( x_1 = -1 \)
- \( y_1 = 4 \)
- \( x_2 = 2 \)
- \( y_2 = -3 \)

Now substituting these values into the formula:

\[
d = \sqrt{(2 - (-1))^2 + (-3 - 4)^2}
\]
\[
= \sqrt{(2 + 1)^2 + (-3 - 4)^2}
\]
\[
= \sqrt{(3)^2 + (-7)^2}
\]
\[
= \sqrt{9 + 49}
\]
\[
= \sqrt{58}
\]

Calculating \( \sqrt{58} \):

\[
\sqrt{58} \approx 7.61577
\]

Rounding to the nearest tenth:

\[
\text{Distance} \approx 7.6
\]

Thus, the distance between point \( A \) and point \( B \) is approximately **7.6**.