SOLUTION: Any help would be appreciated Find the equations for the following lines and then graph them using any graphing utility Parallel to 6x - 4y + 12 = 0, and passing through the line

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Question 297656: Any help would be appreciated
Find the equations for the following lines and then graph them using any graphing utility
Parallel to 6x - 4y + 12 = 0, and passing through the line x = 3
John
Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
x=3 is a vertical line with slope undefined x is always 3 and y can be anything
If a line passes through x=3 that means x will be 3
So let's check that our line goes through x=3
6*3-4y+12=0
18-4y+12=0
30-4y=0
30=4y
30/4=y
Yes, it does pass through x=3
So a parallel line will also pass through x=3
So you need to find the slope of 6x-4y+12=0
where 6=a and b=-4 and -a/b is the slope
The new line will have the same slope.
Now you need to write an equation with that slope
y=mx where m is that slope.
done