Answer:
The answer is "Option a".
Step-by-step explanation:
Please find the complete question in the attached file.
Using the distance formula for the extension of the Pythagorean Theorem.
[tex]d^2=(y_2-y_1)^2+(x_2-x_1)^2\\\\d^2=(3-1)^2+(4-(-2))^2\\\\d^2=(3-1)^2+(4+))^2\\\\d^2=2^2+6^2\\\\d=\sqrt{(2^2+6^2)}[/tex]