SOLUTION: Find the values of c and k such that the straight line through (4,-3) and (-2,-5) is: a)parallel to the straight line through (2c,3)and(c,c-3) b)perpendicular to th

Algebra ->  Rational-functions -> SOLUTION: Find the values of c and k such that the straight line through (4,-3) and (-2,-5) is: a)parallel to the straight line through (2c,3)and(c,c-3) b)perpendicular to th      Log On


   

Question 936264: Find the values of c and k such that the straight line through (4,-3) and (-2,-5) is:
a)parallel to the straight line through
(2c,3)and(c,c-3)
b)perpendicular to the straight line through
(k,k+1)and(2k-1,3k)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The slope for the line with the given points:
%28-5-%28-3%29%29%2F%28-2-4%29
-2%2F%28-6%29
1%2F3


Some help for part (b):
You want the slopes to be negative reciprocals, so that
%281%2F3%29%28%283k-k-1%29%2F%282k-1-k%29%29=-1

%281%2F3%29%28%282k-1%29%2F%28k-1%29%29=-1

2k-1=-1%283%28k-1%29%29

cross%282k-1=-3k%2B1%29
2k-1=-3k%2B3

cross%285k-1=1%29
5k=4

cross%285k=2%29
highlight%28k=4%2F5%29

cross%28k=2%2F5%29, finished part (b).

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Find the values of c and k such that the straight line through (4,-3) and (-2,-5) is:
a)parallel to the straight line through
(2c,3)and(c,c-3)
b)perpendicular to the straight line through
(k,k+1)and(2k-1,3k)
c = highlight_green%28system%284%261%2F2_or%2C4.5%29%29

k = highlight_green%284%2F5%29

You can do the check!! 

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