Question

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

Explanation:

Step1: Identify the coordinates

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

Step2: Check the y - coordinates

Since \(y_1 = y_2 = 5\), the line segment connecting 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 \(x_1=-7\) and \(x_2 = - 3\) into the formula: \(|-3-(-7)|=|-3 + 7|=|4| = 4\).

Answer:

4