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Determine if the lines are Parallel,Perpendicular or neither .

6x+10y=20 and 5x-3y=21 show steps please

User Chadit
by
8.3k points

2 Answers

1 vote
6x+10y=20
10y=-6x+20
y=-6/10x+20/10
y=-3/5x+2

5x-3y=21
-3y=21-5x
y=21/-3+-5/-3x
y=3/5x-7


Two lines are Perpendicular
User Facyo Kouch
by
8.3k points
2 votes

Answer:

Perpendicular

Explanation:

General equation of line:
y=mx+c

Line 1: 6x+10y=20

Convert in general equation


10y = 20-6x


y = (20-6x)/(10)


y =2-(6)/(10)x


y =2-(3)/(5)x

Line 2: 5x-3y=21

Convert in general equation


5x-21=3y


(5x-21)/(3)=3y


(5)/(3)x-7=3y

if slopes are equal then the lines are parallel

If the product of slopes is -1 then they are perpendicular

Since
(-3)/(5) \\eq (5)/(3)

So, lines are not parallel


(-3)/(5) * (5)/(3)


-1

Since the product of slopes is -1

Hence the given lines are perpendicular

User Robinvdvleuten
by
8.2k points

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