Question

3x+2y=1 graph with full equations ​

Answer 1

Answer:

Intercept on

x

-axis is

1

3

and on

y

-axis is

1

2

Explanation:

There are two ways of doing this.

One - If a line has intercepts

a

on

x

-axis and

b

on

y

-axis, then its equation is

x

a

+

y

b

=

1

Now we can write

3

x

+

2

y

=

1

as

x

1

3

+

y

1

2

=

1

Hence, intercept on

x

-axis is

1

3

and on

y

-axis is

1

2

Two - We can find

x

intercept by putting

y

=

0

and

y

intercept by putting

x

=

0

(this method is applicable even on non-linear equations.

Putting

y

=

0

we get

3

x

=

1

or

x

=

1

3

and putting

x

=

0

, we get

2

y

=

1

or

y

=

1

2

.

Hence, intercept on

x

-axis is

1

3

and on

y

-axis is

1

2

graph{3x+2y=1 [-2.532, 2.47, -0.96, 1.54)

Answer 2

Step-by-step explanation:

If you write the equation as follows :

2

y

=

−

3

x

+

1

⇒

y

=

−

3

x

2

+

1

2

And compare it to the slope intercept form of linear equations,

You find that y-intercept is

1

2

.

And If you do this :

3

x

=

−

2

y

+

1

⇒

x

=

−

2

y

3

+

1

3

Here, the x - intercept is

1

3

.

hope it is helpful