$\"\"$ $\"\"$ $\"\"$

\

\

Standard form line equation is $\"\"$ , where A, B and C are integers.

\

Rewrite the equation so that variables are on the same side and constants

\

are on the other side of the equation.

\

Original equation is $\"\"$

\

$\"\"$ (Apply distributive property: $\"\"$ )

\

$\"\"$ (Multiply: $\"\"$ )

\

$\"\"$

\

$\"\"$ (Add 5 to each side)

\

$\"\"$ (Additive inverse property: $\"\"$ ) \ \

\

$\"\"$ (Additive identity property: $\"\"$ )

\

\

\

$\"\"$ (Add: 8 + 5 = 13)

\

$\"\"$

\

$\"\"$ (Subtract 4x from each side)

\

$\"\"$ (Commutative property of Addition: $\"\"$ )

\

$\"\"$ (Additive inverse property: $\"\"$ )

\

$\"\"$ (Additive identity property: $\"\"$ )

\

Rewrite the equation in standard form

\

$\"\"$

\

$\"\"$

\

In standard form line equation x coefficient $\"\"$ is always greater than or equal to zero. So, equation can write in standard form by multiplying the equation by negative one.

\

$\"\"$

\

$\"\"$

\

The standard form line equation is $\"\"$ .