Find the Slope of the Line

In the standard (x,y) coordinate plane, lines a and c intersect at point (5,-2).  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.)  cannot be determined

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To find the slope of line b, find the slope of the line passing through the points (5,-2) and (-3,3).

y2 - y1
---------- = slope of a line
x2 - x1

The given points are the coordinates (x1,y1) and (x2,y2).

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

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

5
---- = slope   {subtracted on top and bottom}
-8

D.)  -5/8

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