Question 878723
The line's equation, expressed as standard form, is parallel to all lines in the plane which are 2x-7y=c for all real numbers c, {{{c<>9}}}.  In other words, the slopes must be equal.


The line you look for must contain the given point, (4,-6), meaning that this point must satisfy 2x-7y=c.  Substitute the point and evaluate c.