SOLUTION: Write an equation of the line containing the given point and parallel to the given line. (4,-6);2x-7y=9 I'm confused :/

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the line containing the given point and parallel to the given line. (4,-6);2x-7y=9 I'm confused :/      Log On


   

Question 878723: Write an equation of the line containing the given point and parallel to the given line.
(4,-6);2x-7y=9

I'm confused :/
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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%3C%3E9. 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.