1. Objective- To graph and manipulate equations in standard form. Standard FormSlope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 - 3x 2y = - 3x + 8 2 y = x + -3-3 2 8 2 y = x + 4 -3-3 2 -3-3 2 m = -3-3 2 b = 4 To change Standard Form to Slope-Intercept Form just solve the equation for y.

2. Graph the following equation. - 4x + 3y = 6 +4x 3y = 4x + 6 3 y = x + 4 3 6 3 y = x + 2 4 3 m = 4 3 b = 2 x y +4+4 +3+3

3. Graph the following equation. 2x + 6y = 3 - 2x 6y = - 2x + 3 6 y = x + -2-2 6 3 6 -1 3 m = -1 3 b = x y -1 +3+3 1 2 1 2

4. Graph the following equation. y = x m = 1 b = 0 x y +1+1 +1+1 y = 1x + 0

5. Convert the following linear equation to standard form. Not in standard form ! Ax + By = C y = 2x + 5 -2x -2x + y = 5 or2x - y = -5

6. Convert the following linear equation to standard form. Not in standard form ! Ax + By = C Where A, B and C are integers. -x + 2y = -2or x - 2y = 2

7. Convert the following linear equation to standard form. Not in standard form ! Ax + By = C Where A, B and C are integers. 3y = 5x - 12 -5x -5x + 3y = -12 or5x - 3y = 12

8. - x + y = 4 - x Write a linear equation in standard form given: slope = y-intercept = 4 2 3 y = mx + b y = x + 4 2 3 Not in standard form ! Ax + By = C Where A, B and C are integers. 2 3 2 3 2 3 2 3 No fractional coefficients! 3 - 2x + 3y = 12 or 2x - 3y = - 12

9. - x + y = -1 - x Write a linear equation in standard form given: slope = y-intercept = -1 5 4 y = mx + b y = x - 1 5 4 Not in standard form ! Ax + By = C Where A, B and C are integers. 5 4 5 4 5 4 5 4 No fractional coefficients! 4 - 5x + 4y = -4 or 5x - 4y = 4