 3.1 – Paired Data and The Rectangular Coordinate System

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3.1 – Paired Data and The Rectangular Coordinate System

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.

3.1 – Paired Data and The Rectangular Coordinate System
Graphing Equations x y -3 2 -4

3.1 – Paired Data and The Rectangular Coordinate System
Graphing Equations x y -6 3 6 -2

3.1 – Paired Data and The Rectangular Coordinate System
Graphing Equations and Vertical Translations

3.1 – Paired Data and The Rectangular Coordinate System
Graphing Equations and Vertical Translations

3.1 – Paired Data and The Rectangular Coordinate System
Identifying Intercepts Y-intercept X-intercept X-intercept Y-intercept

3.1 – Paired Data and The Rectangular Coordinate System
Identifying Intercepts Y-intercept Y-intercept X-intercept X-intercept

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

3.1 – Paired Data and The Rectangular Coordinate System
Identifying Intercepts and Graphing Equations

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

3.1 – Paired Data and The Rectangular Coordinate System
Identifying Intercepts and Graphing Equations

3.1 – Paired Data and The Rectangular Coordinate System
Graphing Vertical and Horizontal Lines x y

3.1 – Paired Data and The Rectangular Coordinate System
Graphing Vertical and Horizontal Lines x y

3.1 – Paired Data and The Rectangular Coordinate System
Graphing Vertical and Horizontal Lines x y

3.1 – Paired Data and The Rectangular Coordinate System
Graphing Vertical and Horizontal Lines x y

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

3.2 – The Slope of a Line

3.2 – The Slope of a Line

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

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

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?

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?

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?