SOLUTION: Decide whether the pair of lines is parallel, perpendicular, or neither. 4x + 3y = 5 3x - 4y = 10

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Decide whether the pair of lines is parallel, perpendicular, or neither. 4x + 3y = 5 3x - 4y = 10      Log On


   

Question 249964: Decide whether the pair of lines is parallel, perpendicular, or neither.
4x + 3y = 5
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 (red line)
This line has a slope=-4/3
3x - 4y = 10
-4y=-3x+10
y=-3x/-4+10/-4
y=3x/4-2.5 Green line)
This line has a slope=3/4
Thus these 2 lines are perpendicular.
+graph%28+300%2C+300%2C+-6%2C+5%2C+-6%2C+5%2C+-4x%2F3+%2B5%2F3%2C+3x%2F4+-2.5%29+ (graph 300x300 pixels, x from -6 to 5, y from -6 to 5, of TWO functions -4x/5 +5/3 and 3x/4 -2.5).