in a coordinate plane, what is the length of the line segments that connects points at (4,-1) and (9,7)? round to the nearest hundredth.

You might want to plot these 2 points and draw a line segment connecting them.  This line segment is the hypotenuse of a triangle.  What are the lengths of the 2 shortest legs of this triangle?  Square these lengths, and then sum up these two results.  Find the square root of this sum.  Round your answer to the nearest hundredth.  Please show your work.

In summary, you could use either the distance formula or the Pythagorean Theorem to solve this problem.  These two approaches are variations of one another.