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Explanation:
The two endpoints of the segment are (0,-2) and (4,-1)
So this means
(x1,y1) = (0,-2)
(x2,y2) = (4,-1)
Use the distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-4)^2 + (-2-(-1))^2}\\\\d = \sqrt{(0-4)^2 + (-2+1)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17} \ \text{ is the exact distance}\\\\ d \approx 4.1231056 \ \text{ is the approximate distance}\\\\[/tex]