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**3.1 – Paired Data and The Rectangular Coordinate System**

2nd Quadrant 1st Quadrant y-axis origin x x-axis 4th Quadrant 3rd Quadrant

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**3.1 – Paired Data and The Rectangular Coordinate System**

Coordinates of points: Also referred as an ordered pair. The x coordinate is always first and the y coordinate is always second. Each point in the rectangular coordinate system has a unique set of coordinates.

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**3.1 – Paired Data and The Rectangular Coordinate System**

Graphing Equations x y -3 2 -4

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**3.1 – Paired Data and The Rectangular Coordinate System**

Graphing Equations x y -6 3 6 -2

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**3.1 – Paired Data and The Rectangular Coordinate System**

Graphing Equations and Vertical Translations

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**3.1 – Paired Data and The Rectangular Coordinate System**

Graphing Equations and Vertical Translations

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**3.1 – Paired Data and The Rectangular Coordinate System**

Identifying Intercepts Y-intercept X-intercept X-intercept Y-intercept

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**3.1 – Paired Data and The Rectangular Coordinate System**

Identifying Intercepts Y-intercept Y-intercept X-intercept X-intercept

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**3.1 – Paired Data and The Rectangular Coordinate System**

Calculating Intercepts To find the x-intercepts, set y = 0 and solve for x To find the y-intercepts, set x = 0 and solve for y x-intercept: y = 0 y-intercept: x = 0

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**3.1 – Paired Data and The Rectangular Coordinate System**

Identifying Intercepts and Graphing Equations

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**3.1 – Paired Data and The Rectangular Coordinate System**

Calculating Intercepts To find the x-intercepts, set y = 0 and solve for x To find the y-intercepts, set x = 0 and solve for y y-intercept: x = 0 x-intercept: y = 0

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**3.1 – Paired Data and The Rectangular Coordinate System**

Identifying Intercepts and Graphing Equations

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**3.1 – Paired Data and The Rectangular Coordinate System**

Graphing Vertical and Horizontal Lines x y

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**3.1 – Paired Data and The Rectangular Coordinate System**

Graphing Vertical and Horizontal Lines x y

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**3.1 – Paired Data and The Rectangular Coordinate System**

Graphing Vertical and Horizontal Lines x y

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**3.1 – Paired Data and The Rectangular Coordinate System**

Graphing Vertical and Horizontal Lines x y

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**Slope is a rate of change.**

3.2 – The Slope of a Line Slope is a rate of change.

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3.2 – The Slope of a Line

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3.2 – The Slope of a Line

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**Slope of any Vertical Line**

3.2 – The Slope of a Line Slope of any Vertical Line

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**Slope of any Horizontal Line**

3.2 – The Slope of a Line Slope of any Horizontal Line

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**Slopes of 5 lines are given below:**

3.2 – The Slope of a Line Slopes of 5 lines are given below: Parallel Lines ( // ): two or more lines with the same slope. Which slopes represent parallel lines?

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**Slopes of 5 lines are given below:**

3.2 – The Slope of a Line Slopes of 5 lines are given below: The product of their slopes is –1. The slopes of perpendicular lines are negative reciprocals of each other. Which slopes represent perpendicular lines?

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**What is the slope of a line that contains the following points?**

What is the slope of a line that is parallel to this line? What is the slope of a line that is perpendicular to this line?

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