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QUESTION IMAGE

find ef if the coordinate of e is -7 and the coordinate of f is -10.

Question

find ef if the coordinate of e is -7 and the coordinate of f is -10.

Explanation:

Step1: Recall distance formula on number - line

The distance between two points \(a\) and \(b\) on a number - line is \(|a - b|\). Here \(a=-7\) (coordinate of \(E\)) and \(b = - 10\) (coordinate of \(F\)).

Step2: Calculate the difference

\(EF=| - 7-(-10)|\). First, simplify the expression inside the absolute - value: \(-7-(-10)=-7 + 10=3\).

Step3: Find the absolute value

Since \(3\) is already non - negative, \(|3| = 3\).

Answer:

3