Notes: Graphing and Transforming

Notes: Graphing and Transforming Linear Equation SOL: A1.6 Name______Date______

Graphing Equations in ANY FORM using Slope Intercept:

1) Make sure the equation is in ______(Solve the equation for ______)

2) Begin with plotting the ______.

3) Move by ______.

Change the following equations to slope intercept form, then graph the equation and identify all of the characteristic of the line.

1) 3x – 4y = 12

2) 2y = 4x – 8

3) 2x +3y = 6 4) y = 2

There are other forms of linear equations that allow you to find other characteristics. STANDARD FORM: ______

Definition: ______

______

When is Standard Form Useful? ______

Changing an equation from: Slope Intercept Form  Standard Form

1) ______

2) ______

3) ______

Examples: y = 3x + 6 y = ½x + 2 y = x

Standard Form: ______Standard Form: ______Standard Form: ______x-intercept: ______x-intercept: ______x-intercept: ______y-intercept: ______y-intercept: ______y-intercept: ______Notes: Graphing and Transforming Linear Equation SOL: A1.6

Transformations

Definition: ______

______

Changes in the slope may be described by ______.

Given the parent graph y = x, describe the transformation. Changes in the y-intercept may be described by ______.

Given the parent graph y = x, describe the transformation. Notes: Graphing and Transforming Linear Equation SOL: A1.6