# 4.1 – graphing equations in slope-intercept form

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4.1 – Graphing Equations in Slope-Intercept Form

*Remember this:

*Remember this: y = 2x + 1

*Remember this: y = 2x + 1

y = mx + b

*Remember this: y = 2x + 1

y = mx + b

slope

*Remember this: y = 2x + 1

y = mx + b

slope y-intercept

*Remember this: y = 2x + 1

y = mx + b

slope y-intercept

*Remember this: y = 2x + 1

y = mx + b

slope y-intercept

*Remember this: y = 2x + 1

y = mx + b

slope y-intercept

slope = 2

*Remember this: y = 2x + 1

y = mx + b

slope y-intercept

slope = 2

y-int. = 1

*Remember this: y = 2x + 1

y = mx + b

slope y-intercept

slope = 2

y-int. = 1

Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.

*Remember this: y = 2x + 1 y = mx + bslope y-intercept

slope = 2 y-int. = 1

Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.

y = mx + b

*Remember this: y = 2x + 1 y = mx + bslope y-intercept

slope = 2 y-int. = 1

Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.

y = mx + b

*Remember this: y = 2x + 1 y = mx + bslope y-intercept

slope = 2 y-int. = 1

Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.

y = mx + b

*Remember this: y = 2x + 1 y = mx + bslope y-intercept

slope = 2 y-int. = 1

Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.

y = mx + b y = 3x

*Remember this: y = 2x + 1 y = mx + bslope y-intercept

slope = 2 y-int. = 1

Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.

y = mx + b y = 3x

*Remember this: y = 2x + 1 y = mx + bslope y-intercept

slope = 2 y-int. = 1

Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.

y = mx + b y = 3x

*Remember this: y = 2x + 1 y = mx + bslope y-intercept

slope = 2 y-int. = 1

Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.

y = mx + b y = 3x + 5

*Remember this: y = 2x + 1 y = mx + bslope y-intercept

slope = 2 y-int. = 1

Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.

y = mx + b y = 3x + 5

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.

4x + 2y = 6

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.

4x + 2y = 6

-4x -4x

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.

4x + 2y = 6

-4x -4x

2y = -4x + 6

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.

4x + 2y = 6

-4x -4x

2y = -4x + 6

2 2 2

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.

4x + 2y = 6

-4x -4x

2y = -4x + 6

2 2 2

y = -2x + 3

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x

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

• Graph

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x

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

• Graph: m =

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x

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

• Graph: m =

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x

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

• Graph: m = -2

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x

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

• Graph: m = -2, b =

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x

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

• Graph: m = -2, b =

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x

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

• Graph: m = -2, b = 3

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x

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

• Graph: m = -2, b = 3

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x

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

• Graph: m = -2, b = 3

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.

4x + 2y = 6

-4x -4x

2y = -4x + 6

2 2 2

y = -2x + 3• Graph: m = -2, b = 3

1

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.

4x + 2y = 6

-4x -4x

2y = -4x + 6

2 2 2

y = -2x + 3• Graph: m = -2, b = 3

1

2

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.

4x + 2y = 6

-4x -4x

2y = -4x + 6

2 2 2

y = -2x + 3• Graph: m = -2, b = 3

1

2

1

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.

4x + 2y = 6

-4x -4x

2y = -4x + 6

2 2 2

y = -2x + 3• Graph: m = -2, b = 3

1

2

1

Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.

• Change eq. to slope-int. form.

4x + 2y = 6

-4x -4x

2y = -4x + 6

2 2 2

y = -2x + 3• Graph: m = -2, b = 3

1

2

1

Write a linear equation in slope-intercept form to model each situation.

Write a linear equation in slope-intercept form to model each situation.

Ex. 3 You rent a car for $200 plus $0.50 per mile driven.

Write a linear equation in slope-intercept form to model each situation.

Ex. 3 You rent a car for $200 plus $0.50 per mile driven.

Write a linear equation in slope-intercept form to model each situation.

Ex. 3 You rent a car for $200 plus $0.50 per mile driven.

y =

Write a linear equation in slope-intercept form to model each situation.

Ex. 3 You rent a car for $200 plus $0.50 per mile driven.

y =

Write a linear equation in slope-intercept form to model each situation.

Ex. 3 You rent a car for $200 plus $0.50 per mile driven.

y = 200

Write a linear equation in slope-intercept form to model each situation.

Ex. 3 You rent a car for $200 plus $0.50 per mile driven.

y = 200

Write a linear equation in slope-intercept form to model each situation.

Ex. 3 You rent a car for $200 plus $0.50 per mile driven.

y = 200 +

Write a linear equation in slope-intercept form to model each situation.

Ex. 3 You rent a car for $200 plus $0.50 per mile driven.

y = 200 +

Write a linear equation in slope-intercept form to model each situation.

Ex. 3 You rent a car for $200 plus $0.50 per mile driven.

y = 200 + 0.5

Write a linear equation in slope-intercept form to model each situation.

Ex. 3 You rent a car for $200 plus $0.50 per mile driven.

y = 200 + 0.5

Write a linear equation in slope-intercept form to model each situation.

Ex. 3 You rent a car for $200 plus $0.50 per mile driven.

y = 200 + 0.5?

Write a linear equation in slope-intercept form to model each situation.

Ex. 3 You rent a car for $200 plus $0.50 per mile driven.

y = 200 + 0.5x

Write a linear equation in slope-intercept form to model each situation.

Ex. 3 You rent a car for $200 plus $0.50 per mile driven.

y = 200 + 0.5x