*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

*a*and

*b*intersect at point (5,-2) and lines

*b*and

*c*intersect at point (3,-3), then

line

*b*passes through the points (5,-2) and (3,-3).

Find the slope of line b.

**y2 - y1**

**--------- = slope**

x2 - x1

x2 - x1

Points (5,-2) and (3,-3) are (x1,y1) and (x2,y2).

-3 - (-2)

---------- = slope {substituted given coordinates into slope formula}

3 - 5

-3 + 2

--------- = slope {simplified in numerator and denominator}

-2

-1

---- = slope {added in numerator}

-2

slope = 1/2 {simplified}

**A.) 1/2**

*- Algebra House*