SOLUTION: Tell whether the lines for the pair of equations are parallel, perpendicular, or neither. y = (-1/3)x – 5 -18x + 6y = 21

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Question 408915: Tell whether the lines for the pair of equations are parallel, perpendicular, or neither.
y = (-1/3)x – 5
-18x + 6y = 21

Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi


Are these lines parallel, perpendicular, or neither:
y = (-1/3)x – 5 |m = (-1/3)
-18x + 6y = 21 OR y= 3x+21/6 |m = 3
Lines are ⊥, having slopes that are negative reciprocals of one another

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
...this is the slope-intercept form and we can say that slope

...write this equation in the slope-intercept form too


.........we can say that slope
so the slopes of our lines are lines are they have the slope; evidently, these two lines are .
If they are , their slopes to get ;
so
let's check it:
.........they are
let's see their graph:










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