Consider the points $(-2,5)$ and $(5,2)$.   

1. Calculate the distance between the points.  Give your answer both in radical form and as a decimal approximation.

   Hint (a):

   Use the Pythagorean Theorem to find the distance.
   $a^2+b^2=c^2$
   $(7)^2+(3)^2=c^2$
   $49+9=c^2$

   Answer (a):

   $c=\sqrt{58}\approx7.62$ units

   

2. What is the slope of the line that goes through the two points?