Question

find the distance between the points (-4, 3) and (-4, -7). distance:

Explanation:

Step1: Identify the coordinates

The two points are \((x_1, y_1) = (-4, 3)\) and \((x_2, y_2) = (-4, -7)\). Since the \(x\)-coordinates are the same (\(x_1 = x_2=-4\)), the distance between the points is the absolute difference of the \(y\)-coordinates.

Step2: Calculate the distance

The distance \(d\) between two points with the same \(x\)-coordinate is given by \(|y_2 - y_1|\). Substituting the values, we get \(| - 7 - 3|=| - 10| = 10\).

Answer:

10