Question

question 4 of 25

what is the distance between the two endpoints in the graph below? if necessary, round your answer to two decimal places.

graph shows a line segment with endpoints at \\((-4, -7)\\) and \\((5, 6)\\).

a. 22 units
b. 15.81 units
c. 16.45 units
d. 13 units

Explanation:

Identify the coordinates of the endpoints

$$ (x_1, y_1) = (-4, -7),\quad (x_2, y_2) = (5, 6) $$

Apply the distance formula

$$
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$$

Calculate the decimal value

$$ d \approx 15.811388 \approx 15.81\text{ units} $$

Answer:

• A. 22 units
• B. 15.81 units (Correct answer)
• C. 16.45 units
• D. 13 units