SOLUTION: Write an equation of the line containing the given point and perpendicular to the given line. (5,-7) ; 5x + 7y = 2

Algebra ->  Coordinate-system -> SOLUTION: Write an equation of the line containing the given point and perpendicular to the given line. (5,-7) ; 5x + 7y = 2      Log On


   

Question 237395: Write an equation of the line containing the given point and perpendicular to the given line.
(5,-7) ; 5x + 7y = 2
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Solve the given equation for to put it into slope-intercept form. Then determine the slope of the given line by inspection of the coefficient on

Now use the fact that the slopes of perpendicular lines are negative reciprocals, that is:



To calculate the slope of the desired line.

Finally, use the point-slope form of the equation of a line to derive the required equation:



Where are the coordinates of the given point and is the calculated slope.

John