Question

find the distance between the points (-5, -7) and (10, -7).
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Explanation:

Step1: Identify the coordinates

The two points are \((x_1, y_1) = (-5, -7)\) and \((x_2, y_2) = (10, -7)\).

Step2: Check the y - coordinates

Notice that \(y_1 = y_2=-7\), so the line segment between the two points is horizontal.

Step3: Calculate the distance

For a horizontal line segment, the distance \(d\) between two points \((x_1,y)\) and \((x_2,y)\) is given by \(d=\vert x_2 - x_1\vert\).
Substitute \(x_1=-5\) and \(x_2 = 10\) into the formula: \(d=\vert10-(-5)\vert=\vert10 + 5\vert=\vert15\vert = 15\).

Answer:

15