- A linear equation is an equation for a straight line
Example of Linear Equation :
The graph of y = 2x + 1 is a straight line
- When x increases, y increases twice as fast, hence 2x
- When x is 0, y is already 1. Hence +1 is also needed
- So: y = 2x + 1
Here are some example values:
| x | y = 2x + 1 |
|---|---|
| -1 | y = 2 × (-1) + 1 = -1 |
| 0 | y = 2 × 0 + 1 = 1 |
| 1 | y = 2 × 1 + 1 = 3 |
| 2 | y = 2 × 2 + 1 = 5 |
Examples of Linear Equations :
 | y = 3x − 6 | |
| y − 2 = 3(x + 1) | |
| y + 2x − 2 = 0 | |
| 5x = 6 | |
| y/2 = 3 |
Examples of NOT Linear Equations :
 | y2 − 2 = 0 | |
| 3√x − y = 6 | |
| x3/2 = 16 |
