SOLUTION: Are the lines parallel, perpendicular or neither? 4x + 3y +5 and 3x -4y = 10.

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Are the lines parallel, perpendicular or neither? 4x + 3y +5 and 3x -4y = 10.      Log On


   

Question 249928: Are the lines parallel, perpendicular or neither? 4x + 3y +5 and 3x -4y = 10.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
4x + 3y +5
3y=-4x=5
y=-4x/3+5/3 slope=-4/3 (red line)
3x -4y = 10
-4y=-3x+10
y=-3x/-4+10/-4
y=3x/4-2.5 slope=3/4 (green line.
Because the slopes are negative recipricals of each other these lines are perpendicular.
+graph%28+200%2C+200%2C+-6%2C+5%2C+-6%2C+5%2C+-4x%2F3+%2B5%2F3%2C+3x%2F4+-2.5%29+ (graph 200x200 pixels, x from -6 to 5, y from -6 to 5, of TWO functions -4x/3 +5/3 and 3x/4 -2.5).