Slope of a line {ACT}

In the standard (x,y) coordinate plane, lines a and b intersect at point (5,-2),
and lines b and c intersect at point (-3,3).  What is the slope of line b?
A.)  1/2
B.)  -5/2
C.)  -2/5
D.)  -5/8
E.)  It cannot be determined from the given information

If line b is part of both of those intersections, then each of those points lies on line b.
Use the two given points to find the slope of line b.

(5,-2) , (-3,3)

y2 - y1
--------- = slope {the slope formula}
x2 - x1

3 - (-2)
---------- = slope {substituted coordinates into slope formula}
-3 - 5

3 + 2
------- = slope {simplified on top and bottom}
-8

5
--- = slope {simplified on top}
-8

D.)  -5/8

- Algebra House