Write equations in standard form

The standard form of a linear equation is

Ax + By = C

where A and B are not both zero, and A, B, and C are integers whose GCF is 1.

y= –10/7 x − 10

Rewrite the equation in standard form.

y = -10/7 x − 10
10/7x + y = -10 [ add 10/7 x to both sides ]

10x + 7y = -70 [ Multiply both sides by 7 ]

y = -2x − 3

Rewrite the equation in standard form.

y = -2x − 3
2x + y = -3 Add 2x to both sides

y = 2x + 10

Rewrite the equation in standard form.

y = 2x + 10

–2x + y = 10 Subtract 2x from both sides

2x − y = –10 Multiply both sides by –1

Let’s Practice!