Use the Pythagorean Theorem to find the distance between (-3, 4) and (6, 1). Show all calculations.

3√10 units

Step-by-step explanation:

From point (-3,4) make a horizontal line to the same x-coordinate as (6,1).  That would be (6,4).  The distance from (-3,4) to (6,4) is 9 units.  Then, make a vertical line from (6,1) to meet at also (6,4) . The distance between (6,1) and (6,4) is 3.  You could graph this and see that these lines are perpendicular.  Then, draw a line from (-3,4) to (6,1), which would be the hypotenuse of the triangle you just created.  Now, the Pythagorean Theorem is a^2+b^2=c^2.  You already know a and b, which is 9 and 3.  Therefore, 81+9=c^2 . c^2=90.  C=√90=3√10.  The distance between (-3,4) and (6,1) is 3√10