SOLUTION: find the value of k such that the line through (k,-2) and (5,2) has a slope of 2/3.

Algebra ->  Graphs -> SOLUTION: find the value of k such that the line through (k,-2) and (5,2) has a slope of 2/3.      Log On


   

Question 1093989: find the value of k such that the line through (k,-2) and (5,2) has a slope of 2/3.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
find the value of k such that the line through (k,-2) and (5,2) has a slope of 2/3.
Use the slope formula m+=+%28%28y2-y1%29%29%2F%28%28x2-x1%29%29, where:
m = 2/3
x1=k
y1=-2
x2=5
y2=2
:
%28%282-%28-2%29%29%29%2F%28%285-k%29%29 = 2%2F3
4%2F%28%285-k%29%29 = 2%2F3
cross multiply
4 * 3 = 2(5-k)
12 = 10 - 2k
2k = 10 - 12
2k = -2
k = -2/2
k = -1
:
:
Check this
4%2F%285-%28-1%29%29 = 4%2F6 = 2%2F3