How do you tell whether the graphs of the pair of equations is parallel, perpendicular or neither for $4 x + 3 y = 6$ $4x+3y=6$ and $3 x - 4 y = 7$ $3x-4y=7$ ?

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Answer 1 · 2015-07-12T20:08:58

$r ⊥ s$ $r \bot s$

$r : y = \frac{6 - 4 x}{3} = - \frac{4}{3} x + 2$ $r: y = (6 - 4x)/3 = - 4/3 x + 2$

$s : \frac{3 x - 7}{4} = y = \frac{3}{4} x - \frac{7}{4}$ $s: (3x - 7)/4 = y = 3/4 x - 7/4$

$tan (90º - \theta) = - 1 / tan \theta$

How do you tell whether the graphs of the pair of equations is parallel, perpendicular or neither for 4x+3y=64x+3y=64x+3y=6 and 3x-4y=73x−4y=73x-4y=7?