SOLUTION: Find the slope of any line parallel to the line through points (7, 9) and (9, 8)

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Question 113650: Find the slope of any line parallel to the line through points (7, 9) and (9, 8)
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope through (7, 9) and (9, 8)

Solved by pluggable solver: Finding the slope
To find the slope going from (7,9) to (9,8) 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 9 to 8, the change in these numbers is -1 (since 8-9=-1). If the x-coordinate changes from 7 to 9, then the change is 2 (since 9-7=2). 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=8,y%5B1%5D=9,x%5B2%5D=9,x%5B1%5D=7Now plug these numbers into the slope formula:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%288-%289%29%29%2F%289-%287%29%29+=+-1%2F2


So after simplification the slope is m=-1%2F2




So any parallel line will also have a slope of -1%2F2