Question

find the distance between the points (-4, -5) and (10, -5).

Explanation:

Step1: Identify the formula for distance between two points with same y - coordinate

When two points \((x_1,y_1)\) and \((x_2,y_2)\) have \(y_1 = y_2\), the distance \(d=\vert x_2 - x_1\vert\). Here, \(x_1=-4\), \(x_2 = 10\), \(y_1=-5\), \(y_2=-5\).

Step2: Calculate the distance

Substitute the values into the formula: \(d=\vert10-(-4)\vert=\vert10 + 4\vert\).
Since \(10+4 = 14\), and \(\vert14\vert=14\).

Answer:

14