Question

Find the distance
(-2,-4) (-6,7)

Answer 1

To find the distance between the points \((-2, -4)\) and \((-6, 7)\), we can use the distance formula:

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

Here, \((x_1, y_1) = (-2, -4)\) and \((x_2, y_2) = (-6, 7)\).

1. Calculate the difference in the x-coordinates:
\[
x_2 - x_1 = -6 - (-2) = -6 + 2 = -4
\]

2. Calculate the difference in the y-coordinates:
\[
y_2 - y_1 = 7 - (-4) = 7 + 4 = 11
\]

3. Substitute these values into the distance formula:
\[
d = \sqrt{(-4)^2 + (11)^2}
\]

4. Calculate the squares:
\[
d = \sqrt{16 + 121} = \sqrt{137}
\]

So, the distance between the points \((-2, -4)\) and \((-6, 7)\) is

\[
\sqrt{137} \approx 11.7
\] (approximately).