SOLUTION: Find the slope of any line parallel to the line through points (-2,3) and (4,5)

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Question 83336: Find the slope of any line parallel to the line through points (-2,3) and (4,5)
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Since parallel lines have equal slopes, we can find the slope of the line through (-2,3) and (4,5)

Solved by pluggable solver: Finding the slope
To find the slope going from (-2,3) to (4,5) 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 3 to 5, the change in these numbers is 2 (since 5-3=2). If the x-coordinate changes from -2 to 4, then the change is 6 (since 4--2=6). 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=5,y%5B1%5D=3,x%5B2%5D=4,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=%285-%283%29%29%2F%284-%28-2%29%29+=+2%2F6


So after simplification the slope is m=1%2F3



Since the slope of the line through (-2,3) and (4,5) is 1%2F3. Any parallel line will also have the slope of 1%2F3.