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QUESTION IMAGE

find the distance between point e and point f.

Question

find the distance between point e and point f.

Explanation:

Step1: Determine the coordinates of points E and F

From the graph, point \( E(-6,5) \) and point \( F(-6,-2) \).

Step2: Use the distance formula for points with the same x - coordinate

The distance \( d \) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \( d=\vert y_1 - y_2\vert\) when \(x_1 = x_2\). Here \(x_1=x_2=-6\), \(y_1 = 5\), \(y_2=-2\). Then \(d=\vert5-(-2)\vert=\vert5 + 2\vert\).

Answer:

\(7\)