Independent Practice: Convert from Standard to Slope-Int FormSection 1: Label the Equations

1) y = mx + b : _______________________

2) Ax + By = C : __________________________

3) y – y1 = m(x – x1) : __________________

4) 3x + 4y = 6 : __________________________ 7) y = x + 6 : ______________________________

5) y – 5 = ¼(x - 3) : __________________________ 8) 3x – y = 8 : ______________________________

6) y = -2x + 7 : __________________________ 9) y + 4 = ¾(x + 2) : ______________________________

Section 2: Converting Standard Form to Slope-Intercept Form1 2 3

Step 1: Move the x-term to the other side of the equation.

6x + 2y = 12 3x + 2y = 10 4x + 8y = 16

Step 2: Divide both sides by the number in front of y.

Step 3: Identify the slope and the y-intercept. m: ______ b: ______ m: ______ b: ______ m: ______ b: ______

4 5 6Step 1: Move the x-term to the other side of the equation.

-4x + 2y = 6 5x – 3y = 18 7x -14y = 28

Step 2: Divide both sides by the number in front of y.

Step 3: Identify the slope and the y-intercept. m: ______ b: ______ m: ______ b: ______ m: ______ b: ______

7 8 9Step 1: Move the x-term to the other side of the equation.

-6x – 3y = 15 -6x – 2y = -12 -12x + 6 y = -30

Step 2: Divide both sides by the number in front of y.

Step 3: Identify the slope and the y-intercept. m: ______ b: ______ m: ______ b: ______ m: ______ b: ______

Section 3: Find the slope of the Line, show all work 1) What is the slope of the line 8x + 2y = 4? 2) What is the slope of the line 8x -10y = 30?

Word BankSlope Intercept Point Slope Standard Form

3) What is the slope of the line 10x - 5y = -20? 4) What is the slope of the line 4x -9y = 18?

Section 4: Find the slope and y-intercept of the line then graph the line Graph: 3x + 4y = -8 m: ____ Graph: -2x + 6y = 18 m: ____

b: _____ b: ____

Section 5: Multiple Choice, show all work

#1. What is the slope of the line 9x – 5y = 15 ? #2. What is the slope of the line 12x + 3y = 21?

A. A. 7

B. B. -3

C. C. 4

D. D. -4

EXPLORE: Why in Standard Form is the number next to X (aka X’s coefficient) NOT the slope?

Use a table and a graph to figure it out:

Equation 1: Example 2Y = 2x + 1 2y + 6x = 12

What’s the slope? ______Do you see that number in the eq? What’s the slope? ______Do you see that number in the eq?

A. Y = 2x + 3

B. Y = - ¼ x – 6

C. Y = ¾ x – 1

D. Y = x + ½

E. Y = -2 + 4x

F.Y = 5 + 3x

G. Slope = 3, y-int= -2

H. Slope = ½,y-int= 5

I. Y-int = 2,Slope = - 1/3

J. Y-int = -10,Slope = 2/3