Find the given distances between points P, Q, R, and S on a number line, with coordinates -4, -1, 8, and 12, respectively. See Example 3. d (Q, R)

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Identify the coordinates of points Q and R on the number line. Here, Q is at -1 and R is at 8.

Recall that the distance between two points on a number line is the absolute value of the difference of their coordinates. The formula is: \(d(A, B) = |x_B - x_A|\).

Apply the distance formula to points Q and R: \(d(Q, R) = |8 - (-1)|\).

Simplify the expression inside the absolute value: \(8 - (-1) = 8 + 1\).

Calculate the absolute value to find the distance: \(d(Q, R) = |9|\).

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