Does y varies directly as x in this function y=x+2

No

Step-by-step explanation

Explanation:

For the given relation:  

y

=

x

+

2

we can note that  

(

x

,

y

)

=

(

1

,

3

)

is one possible solution.

If  

y

varied directly as  

x

then multiplying the  

x

value (in this case  

1

) by any value (for example  

7

) would require that the  

y

value (in this case  

3

) if multiplied by that same value would give a new solution pair.

For the given example with an initial solution pair:  

(

1

,

3

)

then  

(

1

×

7

,

3

×

7

)

=

(

7

,

21

)

would also need to be a valid solution.

Bit, in this case,  

(

x

,

y

)

=

(

7

,

21

)

is not a valid solution pair for  

y

=

x

+

2

.

In general for  

y

to vary directly as  

x

it must be possible to express the relation as  

y

=

m

x

for some constant,  

m

hope this helps you

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