someone please help me answer this!!

Answer:
17 units is the answer
Step-by-step explanation:
Points are (1,9) and (9,-6)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-1)^2 + (-6-9)^2}\\\\d=\sqrt{(8)^2+(15)^2} \\\\d=\sqrt{64+225} \\\\d=\sqrt{289} \\\\d=17[/tex]
∴ d = 17 units is the distance between 2 points.