Answer: The line is [tex]\sqrt{65}[/tex] units long.
Step-by-step explanation:
You can find the distance using the Pythagorean theorem.
The line travels 8 units across and 1 down. These are the "sides" of the triangle, and we can treat the line given as the hypotenuse of the triangle.
[tex]a^2 + b^2 = c^2\\\\1^2 + 8^2 = c^2\\\\1 + 64 = c^2\\\\c = \sqrt{65}[/tex]
The line is [tex]\sqrt{65}[/tex] units long.
