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SOLUTION: Decide whether the pair of lines is parallel, perpendicular, or neither. 4x + 3y = 5 3x - 4y = 10
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-> SOLUTION: Decide whether the pair of lines is parallel, perpendicular, or neither. 4x + 3y = 5 3x - 4y = 10
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Algebra: Distributive, associative, commutative properties, FOIL
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Question 249964
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Decide whether the pair of lines is parallel, perpendicular, or neither.
4x + 3y = 5
3x - 4y = 10
Answer by
checkley77(12844)
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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 300x300 pixels, x from -6 to 5, y from -6 to 5, of TWO functions -4x/5 +5/3 and 3x/4 -2.5).