Objective- To graph and manipulate equations in standard form.Standard Form Slope-Intercept Form

Ax + By = C y = mx + b

3x + 2y = 8-3x -3x

2y = -3x + 82 2y = x + -3

282

y = x + 4 -32

y = x + 4 -32

m = -32

b = 4

To change Standard Form to Slope-Intercept Form just solve the equation for y.

Graph the following equation.

-4x + 3y = 6+4x +4x

3y = 4x + 63 3y = x + 4

363

y = x + 2 43

m = 43

b = 2

x

y

+4

+3

Graph the following equation.

2x + 6y = 3-2x -2x

6y = -2x + 36 6y = x + -2

636

y = x +-13

m = -13

b =

x

y

-1 +3

12

12

Graph the following equation.

y = x

m = 1

b = 0

x

y

+1+1

y = 1x + 0

Convert the following linear equation to standard form.

Not in standard form!

Ax + By = Cy = 2x + 5

-2x -2x-2x + y = 5

-2x + y = 5 or 2x - y = -5

Convert the following linear equation to standard form.

Not in standard form!

Ax + By = C

Where A, B and Care integers.

y x 12

1

12

12

x x

12

x y = 1

2 12

FHG IKJx y = 1

-x + 2y = -2 or x - 2y = 2

Convert the following linear equation to standard form.

Not in standard form!

Ax + By = C

Where A, B and Care integers.

y x 53

4

3 53

4y x FHG IKJ3y = 5x - 12

-5x -5x-5x + 3y = -12 or 5x - 3y = 12

- x + y = 4

- x + y = 4

- x - x

Write a linear equation in standard form given:slope = y-intercept = 42

3y = mx + by = x + 42

3Not in standard form!Ax + By = CWhere A, B and Care integers.

23

23

2323 No fractional coefficients!3

- 2x + 3y = 12 or 2x - 3y = -12

- x + y = -1

- x + y = -1

- x - x

Write a linear equation in standard form given:slope = y-intercept = -15

4y = mx + by = x - 15

4Not in standard form!Ax + By = CWhere A, B and Care integers.

54

54

5454 No fractional coefficients!4

- 5x + 4y = -4 or 5x - 4y = 4