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Question 49535: 7. Find the equation for the following line
Parallel to 6x - 4y + 12 = 0, and passing through the line x = 3.
6x – 4y + 12 = 0
-4y = -6x – 12
y = 6/4x + 3
Now what? I don't understand where to go from here.
Andrea
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! you now know that the gradient of the quoted equation is 6/4... or more simply 3/2.
As the line you are asked to find is parallel to this, we now know that its gradient is also 3/2. Put that into the standard equation of a straight line (y=mx+c) as the value of m.
We then need the value of c. To find that, you need to know x and y at a point, any point, which we DONT!: we are told that the line passes through the line x=3 which gives us the x-value but not the y-value.
So this question is worded badly if not incorrectly... there is no "equation" there are "equations"... in infinite number of them that are parallel to the quoted line and cross the line x=3
Please check the wording of the question. If it is as you wrote, then go back to your teacher and ask them what they are looking for, because the question has bad maths language.
Jon.
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