Explanation:
To determine the equation of the line parallel to
, we need to first determine the slope of the given line.
A line in slope-intercept form is represented by the following:
where
is the slope of the line and
is the y-intercept.
Rearranging the given line will give us the slope of the line:
From this, since we know the lines are parallel, if the slope of the given line is
, then the slope of the line we are constructing must also be
.
We can now start to construct the line with the same slope-intercept form:
To determine the y-intercept,
, we can plug in the point
since we are told from the problem statement that this parallel line runs through it:
Finally, we have our parallel line:
If this line needs to be in standard form, we can rearrange it a little:
