The equation of the given line is,
The slope-intercept form of the equation of a line with slope (m) and y-intercept (c) is given by,
Converting the given equation in slope-intercept form,
It is evident that the slope of the given line is 5.
Theorem: Two lines will be parallel if their slopes are equal.
It follows that the line parallel to the given line will also have slope of 5, and some other arbitrary value 'k' as y-intercept. Then the equation of that line will be,
Now, observe the given options.
All the given options are equations of lines in slope-intercept form. So the coefficient of 'x' will give the slope of that line.
Only the equation given on the lower left side mentions the coefficient of 'x' as 5. So this can be the only line parallel to the given line.
Thus, the equation in the lower left side is the correct choice,
