Question

Jan 10, 7:28:48 PM What is the slope of a line parallel to the line whose equation is 3x - 6y = 18. Fully reduce your answer.​

Answer 1

`1/2`

Explanation:

We are given the line:

`3x-6y=18`

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 y. So, we can first divide everything by 3. This yields:

`x-2y=6`

Adding 2y to both sides yields:

`x=6+2y`

And subtracting 6 from both sides yields:

`x-6=2y`

Finally, dividing everything by 2 gives us:

`\displaystyle y=(1)/(2)x-3`

Hence, the slope of our line is 1/2.

So, the slope of the line parallel to this line must also be 1/2.