Determine the equation of the line through (1,-2) and (-5,6)

Slope: (6 - (-2)) / (-5 - 1) = 8 / -6 = -4/3

Point slope form (i'm using the point (1, -2) but it doesn't matter which one you use): y - (-2) = -4/3(x - 1)

y + 2 = -4/3x + 4/3

y = -4/3x - 2/3

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80