Question

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

Given linear equation: 5x−3y=9

Examples:
Example 1: 2x+3y=6 (This is another linear equation in standard form.)
Example 2: 4y−2x=8 (Another example of a linear equation in standard form.)

Non-Examples:
Non-Example 1: y=x−3 (This is in slope-intercept form, not standard form.)
Non-Example 2: y=x−2 (Also in slope-intercept form, not standard form.)

Answer 1

Linear equations in standard form are written as Ax + By = C. Examples include 2x + 3y = 6 and 4y - 2x = 8.

Step-by-step explanation:

Linear equations in standard form are written as Ax + By = C, where A, B, and C are constants and A and B are not both zero. Here are examples and non-examples of the standard form of a linear function:

Examples:

1. 2x + 3y = 6 (This is another linear equation in standard form.)
2. 4y - 2x = 8 (Another example of a linear equation in standard form.)

Non-Examples:

1. y = x - 3 (This is in slope-intercept form, not standard form.)
2. y = x - 2 (Also in slope-intercept form, not standard form.)