SOLUTION: What is the equation of the line containing the given point and perpendicular to the given line. (6,-9); 2x+5y=9

Algebra ->  Linear-equations -> SOLUTION: What is the equation of the line containing the given point and perpendicular to the given line. (6,-9); 2x+5y=9      Log On


   

Question 309086: What is the equation of the line containing the given point and perpendicular to the given line.
(6,-9); 2x+5y=9
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(6,-9);
2x+5y=9
5y=-2x+9
y=-2x/5+9/5 This line has a slope=-2/5. (red line)
A perpendicular line will have a slope=5/2 or 2.5.
-9=2.5*6+b
-9=15+b
b=-9-15
b=-24 is the Y intercept.
y=2.5x-24 (green line).
+graph%28+300%2C+300%2C+-6%2C+15%2C+-25%2C+10%2C+-2x%2F5+%2B9%2F5+%2C+2.5x+-24%29+ (graph 300x300 pixels, x from -6 to 15, y from -25 to 10, of TWO functions -2x/5 +9/5 and 2.5x -24).
Solution (8.89,-1.75)