4.1 – Graphing Equations in Slope-Intercept Form.

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Presentation transcript:

4.1 – Graphing Equations in Slope-Intercept Form

*Remember this:

*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 + 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. y = mx + b

*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. y = mx + b

*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. y = mx + b

*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. y = mx + b y = 3x

*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. y = mx + b y = 3x

*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. y = mx + b y = 3x

*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. y = mx + b y = 3x + 5

*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. y = mx + b y = 3x + 5

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

Ex. 2 Graph 4x + 2y = 6 using slope- intercept form. Change eq. to slope-int. form. 4x + 2y = 6 -4x 2y = -4x + 6

Ex. 2 Graph 4x + 2y = 6 using slope- intercept form. Change eq. to slope-int. form. 4x + 2y = 6 -4x 2y = -4x

Ex. 2 Graph 4x + 2y = 6 using slope- intercept form. Change eq. to slope-int. form. 4x + 2y = 6 -4x 2y = -4x y = -2x + 3

Ex. 2 Graph 4x + 2y = 6 using slope- intercept form. Change eq. to slope-int. form. 4x + 2y = 6 -4x 2y = -4x y = -2x + 3 Graph

Ex. 2 Graph 4x + 2y = 6 using slope- intercept form. Change eq. to slope-int. form. 4x + 2y = 6 -4x 2y = -4x 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 2y = -4x 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 2y = -4x 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 2y = -4x 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 2y = -4x 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 2y = -4x 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 2y = -4x 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 2y = -4x 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 2y = -4x 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 2y = -4x 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 2y = -4x 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 2y = -4x 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 2y = -4x y = -2x + 3 Graph: m = -2, b =

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 =

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 = x

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 = x