Question

name: practice & problem s leveled practice in 10 - 15, find the distar 10. (-2, 8) and (7, 8) 11. (- | - 2 | + | 7 | = 7 + 2 = 9 units 13. (-5, -3) and (-5, -6) 14. (-5

Explanation:

Step1: Determine the formula

Since the \(x -\)coordinates are the same (\(x=-5\) for both points \((-5,-3)\) and \((-5,-6)\)), we use the formula for the distance between two points with the same \(x -\)coordinate: \(d=\vert y_2 - y_1\vert\)

Step2: Substitute the \(y -\)values

Let \(y_1=-3\) and \(y_2 = -6\). Then \(d=\vert-6-(-3)\vert=\vert-6 + 3\vert\)

Step3: Simplify the expression

\(\vert-6 + 3\vert=\vert-3\vert\)

Step4: Evaluate the absolute value

\(\vert-3\vert=3\)

Answer:

\(3\) units