Find the x and y interceptFind the x and y intercept

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3

Warm Up – find the slope.Warm Up – find the slope.

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123

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Slope-Intercept Slope-Intercept FormForm

Lesson 11.6Lesson 11.6

Objectives:Objectives:

• Represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in the situation represented by the graph. (AF 1.5)

• Graph linear functions noting that the vertical change per unit of horizontal change is always the same and know that the ratio is called the slope of a graph. (AF 3.3)

Slope- Intercept FormSlope- Intercept Form

SlopeSlope Y- interceptY- intercept

Y-intercept tells you Y-intercept tells you the starting point of the starting point of your line.your line.

For example – (0,3)For example – (0,3)

Slope tells you the Slope tells you the “steepness” of a line.“steepness” of a line.

For example – 2 For example – 2

(up 2, over 1)(up 2, over 1)

Click here for more.

Identify slope and y-intercept.Identify slope and y-intercept.

53 xy

62 xy

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1 xy

xy 7

4y

4 xy

m= 3 b = 5

m= -2 b = -6

m= -1 b = 4

m= -7 b = 0

m= 0 b = 4m= ¼ b = -1

Slope-Intercept FormSlope-Intercept Form Use the slope and y-intercept to write a linear

equation in slope-intercept form.

m= -2 b = 6

m= 4 b = 0

m= 0 b = -5

m= -⅓ b = 1

m= ⅛ b = 3

m= 1 b = 6

Y = -2x +6

Y = 4x

Y = -5

Y = -⅓x + 1

Y = ⅛x + 3

Y = 1x + 6

Graphing Slope-InterceptGraphing Slope-Intercept

1. Y-intercept is your starting point. Start at (0, 3)

2. Use slope to create line. Up 2, to the right 1.

3. Connect the points with a line.

Graphing Slope-InterceptGraphing Slope-Intercept

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3 xy

1. Starting point?

2. Use slope

3. Connect the points

On your own – graph.On your own – graph.

On your own – graph.On your own – graph.

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2 xy

Identify the linear equation.Identify the linear equation.

42 xy

Identify the linear equation.Identify the linear equation.

42 xy

Graph these lines.Graph these lines.

Identify the linear equation.Identify the linear equation.

3y 52 xy