SOLUTION: find the equation of the line parallel to x = 2y +12, passing thru (0,6)

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Question 114699: find the equation of the line parallel to x = 2y +12, passing thru (0,6)
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
The slope intercept form is y=mx%2Bb where m is the slope and b is the y-intercept.
To be parallel the line must have the same slope.
Transposing x=2y+12 to slope-intercept,
x=2y%2B12
2y%2B12=x
2y%2B12-12=x-12
2y%2B0=x-12
2y=x-12
2y%2F2=%28x-12%29%2F2
y=x%2F2-6
Here, m=1%2F2

Now, we must find a line that passes through (0,6) and has a slope of 1%2F2.
Since the line passes through (0,6), we will use x=0 and y=6
y=mx%2Bb
0=%281%2F2%29%286%29%2Bb --------------i used m=1%2F2
0=3%2Bb
b=-3
Now, we know that b=-3. So,
y=x%2F2%2B%28-3%29
y=x%2F2-3
This is the equation of the line. Proof? Look below!
graph%281000%2C1000%2C-20%2C20%2C-20%2C20%2Cx%2F2-3%2Cx%2F2-6%29

They are parallel!

Power up,
HyperBrain!