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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)

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2 Answers

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.
 
 
 
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!