Question

Identify examples and non-examples of the standard form of a linear function.

Answer 1

Answer:

1. 5x - 3y = 9 (Example)
2. y = 1/2x - 3 (Non-Example)
3. 2x + 3y = 0 (Example)
4. x + y = 1 (Example)
5. x = 6y (Non-Example)
6. y = x - 2 (Non-example)

Step-by-step explanation:

Standard form of the equation is given by:

Ax + By = C

Where

• x and y are variables

• A, B and C are constants which must be Integers. A should always be positive.

Considering the definition, we can identify the examples and non-examples of standard from of a linear equation.

5x - 3y = 9

• In a form of Ax + By = C
• A,B and C are constants
• A=5 is positive

It is an EXAMPLE of standard form of linear function

y = 1/2x - 3

• Not in the form of Ax + By =C

NON-EXAMPLE

2x + 3y = 0

• In a form of Ax + By = C
• A,B and C are constants
• A=5 is positive

It is an EXAMPLE of standard form of linear function

x + y = 1

• In a form of Ax + By = C
• A,B and C are constants
• A=5 is positive

It is an EXAMPLE of standard form of linear function

x = 6y

• Not in the form of Ax + By =C

NON-EXAMPLE

y = x - 2

• Not in the form of Ax + By =C

NON-EXAMPLE