1. Tell me everything you know about the following y = mx + b

2. Slope-intercept Form m = slope b = y-intercept y = mx + b

3. Common Core #8 Derive the equation y = mx for a line through the origin and y = mx + b for a line intersecting the vertical axis at b

5. Slope-intercept Form y = mx + b What is the slope(m) and y-intercept(b) of this equation? y = 7x + 11 Since this already in the right form, m = 7 and b = 11

6. Slope-intercept Form y = mx + b What is the slope(m) and y-intercept(b) of this equation? y = 4/5x - 6 Since this already in the right form, m = 4/5 and b = -6 the “y” term is all by itself on the left side of the equation. That is very important!

7. WHY? If the “y” is not all by itself, then we must first use the rules of algebra to isolate the “y” term. For example in the equation: 2y = 8x + 10 You will notice that in order to get “y” all by itself we have to divide both sides by 2. After you have done that, the equation becomes: y = 4x + 5 Now m = 4 and the y-intercept = 5

8. The Harder Ones! Uh Oh! 2x – y = 10 -2x -y = -2x + 10 -1 -1 -1 y = 2x + 10 x + 2y = 8 -x 2y = -x + 8 2 2 2 y = -1x + 4 2

9. Write each equation in slope-intercept form. Identify the slope and y-intercept. -4x + y = 6 4x + 3y = 9 3x = 5y We will work these on the board!

10. PRACTICE PROBLEMS PAGE Problems 17-20