Question

find the distance between the points (-5, -7) and (3, -7). distance: ☐

Explanation:

Step1: Identify the coordinates

The two points are \((-5, -7)\) and \((3, -7)\). Let \((x_1, y_1) = (-5, -7)\) and \((x_2, y_2) = (3, -7)\).

Step2: Check the y - coordinates

Notice that \(y_1 = y_2=-7\), so the line segment between the two points is horizontal. The distance between two points with the same \(y\) - coordinate is given by \(|x_2 - x_1|\).

Step3: Calculate the distance

Substitute \(x_1=-5\) and \(x_2 = 3\) into the formula: \(|3-(-5)|=|3 + 5|=|8| = 8\).

Answer:

8