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

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Question 317852: 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):
You can put this solution on YOUR website!
Determine "k" so that the line through (k+2,k) and (3,2) has slope 3.
:
The slope formula: %28y2-y1%29%2F%28x2-x1%29 = m
Assign the values as follows:
x1 = (k+2) y = 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 = 3
2 - k = 3(1 - k)
:
2 - k = 3 - 3k
:
-k + 3k = 3 - 2
:
2k = 1
:
k = 1%2F2, or .5
:
:
Check the slope
%282+-+.5%29%2F%283-2.5%29%29 =
1.5%2F.5 = 3