SOLUTION: I have this question 2x...different answers to pick from...please help me out?? Find the slope of the line passing through the points (–2, 7) and (8, –1). 1st set of answers.

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Question 105424: I have this question 2x...different answers to pick from...please help me out??
Find the slope of the line passing through the points (–2, 7) and (8, –1).
1st set of answers...
a.)5/4
b.)-5/4
c.)4/5
d.)-4/5
2nd set of answers...
a.)0
b.)1
c.)-4
d.) Undefined
how is this possible and can it broken down into steps?

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Finding the slope
To find the slope going from (-2,7) to (8,-1) we are going to calculate the change in y over the change in x, or the rise over the run. The change is the difference between the two coordinates. So if the y-coordinate of a point goes from 7 to -1, the change in these numbers is -8 (since -1-7=-8). If the x-coordinate changes from -2 to 8, then the change is 10 (since 8--2=10). So to calculate the slope we use this formula:
Slope:

m=%28change_in_y%29%2F%28change_in_x%29=rise%2Frun where m is the slope

So now we let y%5B2%5D=-1,y%5B1%5D=7,x%5B2%5D=8,x%5B1%5D=-2Now plug these numbers into the slope formula:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%28-1-%287%29%29%2F%288-%28-2%29%29+=+-8%2F10


So after simplification the slope is m=-4%2F5




I'm not sure why there are two sets of answers, but it looks like the answer is D from the first set