1. y=mx+b where m is the slope and b is the y-intercept y=mx+b is the slope intercept form for a linear equation Highest power of a linear equation is 1

2. Example 1 4x + 2y = -12 – 4x – 4x subtract 4x from both sides + 2y = -12 – 4x 2 2 2 divide both sides by 2 y = -6 – 2x change into y=mx+b form y = -2x – 6

3. Example 2 8x – 16 = 4y 4 4 4 2x – 4 = y

4. Example 3 6 = -y -1 -1 -6 = y

5. Example 4 x = -4 + y + 4 +4 4 + x = y change to y=mx+b form y = x + 4

6. Example 5 -2x + 3y = 15 +2x + 2x 3y = 15 + 2x 3 3 3 y = 5 + 2/3x change to y=mx+b form y = 2/3x + 5

7. Example 6 4x – 6y = 20 –4x – 4x – 6y = 20 – 4x – 6 – 6 – 6 y = -10/3 + 2/3x change to y=mx+b form y = 2/3x – 10/3

8. Example 7 4y = -3x + 10 4 4 4 y = -3/4x + 10/4 simplifies to y = -3/4x + 5/2

9. Example 8 3x + 9y = -18 – 3x + 9y = -18 – 3x 9 9 9 y = -2 – 3/9x reduces to y = -2 – 1/3x y = -1/3x – 2 <<< in y=mx+b form