1) Find the center and radius of the following circle:

x^2 + y^2 + 4x - 8y - 5 = 0


Initialize the values of 'x', 'y' and 'radius' below.

2) Find the equation of the line that is parallel to Y = .3x - 5 that passes through (5, 1).   Appropriately initialize variables 'mPar' and 'bPar'.

3) Find the equation of the line that is perpendicular to Y = -.2x+6 that passes through (-1, 3).  Appropriately initialize variables 'mPerp' and 'bPerp'.

4) Suppose a segment has first point (3, 5) and second point (8, 1).  We want to partition the segment in the ratio 3:7 (or a proportion of .3) from the first point.  


Initialize the value for 'x' and 'y' that would correspond to the point that partitions the segment above.

5) What is the distance between the points (1, 3) and (6, -9)?


Initialize the value of 'distance' below.