LINEAR EQUATIONS

SELAMAT DATANG KE DUNIA MATHS

• 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