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.

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Presentation transcript:

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 y = x y = x m = b = 4 To change Standard Form to Slope-Intercept Form just solve the equation for y.

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

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

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

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

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

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

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

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