SOLUTION: given points R (-2,3) and S (5,1) find the slop of every line perpendicular to RS. please show all your work for full credit. A.Slope of RS B.Slope of Perendicular lines

Algebra ->  Linear-equations -> SOLUTION: given points R (-2,3) and S (5,1) find the slop of every line perpendicular to RS. please show all your work for full credit. A.Slope of RS B.Slope of Perendicular lines      Log On


   

Question 200921This question is from textbook Geometry
: given points R (-2,3) and S (5,1) find the slop of every line perpendicular to RS. please show all your work for full credit.
A.Slope of RS
B.Slope of Perendicular lines This question is from textbook Geometry

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A)

Note: is the first point R and is the second point S .


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%281-3%29%2F%285--2%29 Plug in y%5B2%5D=1, y%5B1%5D=3, x%5B2%5D=5, and x%5B1%5D=-2


m=%28-2%29%2F%285--2%29 Subtract 3 from 1 to get -2


m=%28-2%29%2F%287%29 Subtract -2 from 5 to get 7


So the slope of the line that goes through the points R and S is m=-2%2F7


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B)

Now simply flip the fraction -2%2F7 to get -7%2F2. Finally, change the sign to get 7%2F2. So the slope of ANY perpendicular line to segment RS is m=7%2F2