Write equations in standard form
key notes:
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.
Learn with an example
Rewrite the following equation in standard form.
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 ]
Rewrite the following equation in standard form.
y = -2x − 3
Rewrite the equation in standard form.
y = -2x − 3
2x + y = -3 Add 2x to both sides
Rewrite the following equation in standard form.
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!