Question

Find the distance between the points (-10, -8) and (16, -8).

units

Answer 1

To find the distance between the points \((-10, -8)\) and \((16, -8)\), we can use the distance formula, which is given by:

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

In this case, the coordinates of the two points are:

- Point 1 \((x_1, y_1) = (-10, -8)\)
- Point 2 \((x_2, y_2) = (16, -8)\)

Now we can plug in the coordinates into the distance formula:

\[
d = \sqrt{(16 - (-10))^2 + (-8 - (-8))^2}
\]

Calculating each part:

1. For \(x\) coordinates:
\[
x_2 - x_1 = 16 - (-10) = 16 + 10 = 26
\]

2. For \(y\) coordinates:
\[
y_2 - y_1 = -8 - (-8) = -8 + 8 = 0
\]

Now substituting back into the distance formula:

\[
d = \sqrt{(26)^2 + (0)^2} = \sqrt{676 + 0} = \sqrt{676} = 26
\]

Therefore, the distance between the points \((-10, -8)\) and \((16, -8)\) is \(\boxed{26}\) units.