SOLUTION: Determine k so that the line through (k+2,k) and (3,2) has slope 3.

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Question 206173: Determine k so that the line through (k+2,k) and (3,2) has slope 3.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Determine k so that the line through (k+2,k) and (3,2) has slope 3.
:
Use the slope formula: %28y2-y1%29%2F%28x2-x1%29 = m
:
Assign these values as follows
x1 = (k+2) y1 = k
x2 = 3; y2 = 2
m = 3
:
%282-k%29%2F%283-%28k%2B2%29%29 = 3
:
%282-k%29%2F%283-k-2%29%29 = 3
:
%282-k%29%2F%281-k%29%29 = 3
Multiply both sides by (1-k); solve for k
2 - k = 3(1-k)
:
2 - k = 3 - 3k
:
-k + 3k = 3 - 2
:
2k = 1
:
k = 1%2F2; = .5
:
x = 2.5; y = .5