Questions: The endpoints of WX are W(2,-7) and X(5,-4). What is the length of WX? A. 3 B. 6 C. 18 D. sqrt(6) E. 3 sqrt(2)

Solution Steps

The difference in the x-coordinates is $5 - 2 = 3$.

The difference in the y-coordinates is $-4 - (-7) = -4 + 7 = 3$.

The distance formula is $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Plugging in the differences we calculated, we have $\sqrt{3^2 + 3^2} = \sqrt{9 + 9} = \sqrt{18}$.

$\sqrt{18} = \sqrt{9 \cdot 2} = \sqrt{9} \cdot \sqrt{2} = 3\sqrt{2}$.

Final Answer: The final answer is $\boxed{3\sqrt{2}}$