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

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*