SOLUTION: Find "k" if the line 3x+ky=5 is parallel to the line 2x-7y=4.

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Question 360482: Find "k" if the line 3x+ky=5 is parallel to the line 2x-7y=4.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find "k" if the line 3x+ky=5 is parallel to the line 2x-7y=4.
Find the slope of 2x - 7y = 4, put in the slope/intercept form
-7y = -2x + 4
7y = 2x - 4; multiplied by -1
y = 2%2F7x - 4%2F7
:
slope = 2%2F7 we know parallel lines have the same slope
:
put 3x + ky = 5 in the slope/intercept form
ky = - 3x + 5
y = -3%2Fkx + 5%2Fk
:
slopes are equal therefore:
-3%2Fk = 2%2F7
cross multiply
2k = -3 * 7
2k = -21
k = -21%2F2