What is the intercept s of 3x+y=6

To find the x-intercept, substitute in

0

0

for

y

y

and solve for

x

x

.

3

x

+

(

0

)

=

6

3

x

+

(

0

)

=

6

Solve the equation.

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x

=

2

x

=

2

To find the y-intercept, substitute in

0

0

for

x

x

and solve for

y

y

.

3

(

0

)

+

y

=

6

3

(

0

)

+

y

=

6

Simplify the left side.

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y

=

6

y

=

6

These are the

x

x

and

y

y

intercepts of the equation

3

x

+

y

=

6

3

x

+

y

=

6

.

x-intercept:

(

2

,

0

)

(

2

,

0

)

y-intercept:

(

0

,

6

)

2,0,6 are the intercepts