What is the distance between (−58, 13) and (−58, −2) ?
The distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) in a coordinate plane can be found using the distance formula:
\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\]
In this case, the two points are (-58, 13) and (-58, -2).
So, \(x_1 = -58\), \(y_1 = 13\), \(x_2 = -58\), and \(y_2 = -2\).
Plugging these values into the distance formula:
\[d = \sqrt{((-58) - (-58))^2 + ((-2) - 13)^2}\]
Simplifying:
\[d = \sqrt{0 + (-15)^2}\]
\[d = \sqrt{225}\]
Therefore, the distance between (-58, 13) and (-58, -2) is \(\sqrt{225}\), which is equal to 15.