SOLUTION: Here is my question:
If the lines 3x + Ky = 2 and 6x - 5y - 1 = 0 are parallel, what is the value of K?
I figured out that the slope of 6x - 5y - 1 = 0 is 6/5 and know that
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Question 18388: Here is my question:
If the lines 3x + Ky = 2 and 6x - 5y - 1 = 0 are parallel, what is the value of K?
I figured out that the slope of 6x - 5y - 1 = 0 is 6/5 and know that the slope is the same for the other equation since they are parallel, but I don't know how to apply it to the 1st equation.
Please Help!
Thanks!
Sandy
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
First, you need to write both equations in the slope-intercept form:
1) Subtract 3x from both sides.
Divide both sides by K
The slope is:
2) Add 5y to both sides.
Divide both sides by 5.
The slope is:
Since the lines are parallel, the slopes must be equal, as you have correctly noted.
Solve for K. Multiply both sides by K.
Multiply both sides by 5.
Divide both sides by 6.
Simplify.
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