Point E is located at coordinates (-7, -5). Point F is located at the coordinates (-2, 7). What is the length of EF?

A21 units
B17 units
C13 units
D15 units

Verified Answer :

Answer: 17

Step-by-step explanation:

I did the diagnostic

The length EF is 13 units

The coordinates of the points are given as:

Point E = (-7,-5)

Point F = (-2,7)

The length EF is calculated using the following distance formula

\(EF =\sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}\)

This gives

\(EF =\sqrt{(-2+ 7)^2 + (7+5)^2}\)

\(EF =\sqrt{169}\)

Evaluate the root of 169

\(EF =13\)

Hence, the length EF is 13 units

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