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Answer:
Step-by-step explanation:
We are given the line:
And we want to find the slope of the line parallel to this given line.
Remember that parallel lines have the same slope. So, if we can determine the slope of the given line, we have the slope of its parallel line.
To determine the slope of the given line, we simply have to isolate the <em>y</em>. So, we can first divide everything by 3. This yields:
Adding 2<em>y</em> to both sides yields:
And subtracting 6 from both sides yields:
Finally, dividing everything by 2 gives us:
Hence, the slope of our line is 1/2.
So, the slope of the line parallel to this line must also be 1/2.