5. Write the following equation in standard form using integers.
y+2 =} (x + 4)

it is 2

x

−

3

y

=

−

12

sorry if you dont get it bc the way i put it but here

Step-by-step explanation:

The equation:

y

=

2

3

x

+

4

is in slope intercept form, which is a standard form of equation for a line.

Subtracting

y

from both sides, we get:

0

=

2

3

x

−

y

+

4

Subtracting

4

from both sides we get:

−

4

=

2

3

x

−

y

Multiplying both sides by

3

and transposing, we get:

2

x

−

3

y

=

−

12

This is in what some authors call standard form:

A

x

+

B

y

=

C

with a preference that

A

is a positive integer.

Note that:

The coefficients

A

,

B

and

C

are not unique. You can multiply them all by the same non-zero factor to get another equation for the same line.

If the line is horizontal, then

A

=

0

and cannot be a positive integer.

There may be additional "rules" to prefer

B

to be an integer too, but that would not be possible in the case of lines with irrational slope.

Some authors do not specify that

A

should be an integer.

Note that if you wanted the standard form of a polynomial, then the following form would be preferred:

A

x

+

B

y

+

C

=

0

In our example, that would be

2

x

−

3

y

+

12

=

0

In the context of equations of lines, this is sometimes known as general form.

For standard polynomial form, integer coefficients with positive

x

coefficient and no common factor are preferred if possible.

true

step-by-step explanation: