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# Determine the slope of the line containing each pair or point. A(0,5)andB(-3,2), C(-2,-3) and D(-6,11), E(12,4) and F(9,16), G(-100,50) and H(-200,100)

Need to know slope for each set of points A+B
C+D
E+F
G+H

### 2 Answers by Expert Tutors

Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
5.0 5.0 (428 lesson ratings) (428)
1
The slope, m,  is the change in y over the change in x between any two points, (x1,y1) and (x2,y2), on the line:

m = (y2-y1)/(x2-x1)

For A = (0,5) and B=(-3,2), we have:

m = (2 - 5)/(-3 - 0) = -3/-3

m = 1

Try it yourself for the other sets of points.

Shannon P. | Specialized, flexible tutoring in Math, Language Arts, and FrenchSpecialized, flexible tutoring in Math, ...
4.9 4.9 (92 lesson ratings) (92)
0
Hello, Amy!

To determine slope, we only need to do the following:

Subtract your second y coordinate from your first y coordinate, then divide by the second x coordinate minus the first x coordinate.

For example:

Use the formula:  (y2-y1)/(x2-x1).  So, for points A and B, we set it up as (2-5)/(-3-0).  This gives us -3/-3, or 1.  The slope of the line with points A and B is 1.

Hope this helps!