Point E is located at coordinates (-7, -5). Point F is located at the coordinates (-2, 7). What is the length of EF?
A. 21 units
B. 17 units
C. 13 units
D. 15 units

Respuesta :

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

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

This gives

[tex]EF =\sqrt{(-2+ 7)^2 + (7+5)^2}[/tex]

[tex]EF =\sqrt{169}[/tex]

Evaluate the root of 169

[tex]EF =13[/tex]

Hence, the length EF is 13 units

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