Question

Emaniee would like to build a ramp for her dog over some stairs. Compute the distance between points B and C
B (-2, -6)
C (10, -1)

Answer 1

To compute the distance between the points \( B(-2, -6) \) and \( C(10, -1) \), we can use the distance formula, which is given by:

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

Here, we have:
- \( (x_1, y_1) = (-2, -6) \)
- \( (x_2, y_2) = (10, -1) \)

Now we can plug in the values:

\[
d = \sqrt{(10 - (-2))^2 + (-1 - (-6))^2}
\]

Calculating inside the parentheses first:

\[
d = \sqrt{(10 + 2)^2 + (-1 + 6)^2}
\]
\[
d = \sqrt{(12)^2 + (5)^2}
\]
\[
d = \sqrt{144 + 25}
\]
\[
d = \sqrt{169}
\]
\[
d = 13
\]

Therefore, the distance between points \( B \) and \( C \) is \( 13 \) units.