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

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Question 189774: Decide whether the pair of lines is parallel, perpendicular or neither.
5x+3y=4
3x-5y=3

Answer by jojo14344(1513)   (Show Source): You can put this solution on YOUR website!


Given Line Eqn

In ,
Let Fy=0:
--->
, x-Intercept (4/5,0)

Let Fx=0
--->
, y-Intercept (0,4/3)


In ,
Let Fy=0:

--->
, x-Intercept

Let Fx=0:

--->
,y-Intercept


As we see the graph,
---> is perpendicular to



To check, we know the Slope of one line is negative reciprocal of the other,. We'll see:

In , 5x+3y=4 ---> --->
,

In , 3x-5y=3 ---> --->
,

Verifying,



*The two lines are perpendicular (Answer)




Thank you,
Jojo





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