2. 3.1 – Paired Data and The Rectangular Coordinate System
2nd Quadrant
1st Quadrant
y-axis
origin x
x-axis
4th Quadrant
3rd Quadrant

3. 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.

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

5. 3.1 – Paired Data and The Rectangular Coordinate System
Graphing Equations x y -6 3 6 -2

6. 3.1 – Paired Data and The Rectangular Coordinate System
Graphing Equations and Vertical Translations

7. 3.1 – Paired Data and The Rectangular Coordinate System
Graphing Equations and Vertical Translations

8. 3.1 – Paired Data and The Rectangular Coordinate System
Identifying Intercepts
Y-intercept
X-intercept
X-intercept
Y-intercept

9. 3.1 – Paired Data and The Rectangular Coordinate System
Identifying Intercepts
Y-intercept
Y-intercept
X-intercept
X-intercept

10. 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

11. 3.1 – Paired Data and The Rectangular Coordinate System
Identifying Intercepts and Graphing Equations

12. 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

13. 3.1 – Paired Data and The Rectangular Coordinate System
Identifying Intercepts and Graphing Equations

14. 3.1 – Paired Data and The Rectangular Coordinate System
Graphing Vertical and Horizontal Lines x y

15. 3.1 – Paired Data and The Rectangular Coordinate System
Graphing Vertical and Horizontal Lines x y

16. 3.1 – Paired Data and The Rectangular Coordinate System
Graphing Vertical and Horizontal Lines x y

17. 3.1 – Paired Data and The Rectangular Coordinate System
Graphing Vertical and Horizontal Lines x y

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

19. 3.2 – The Slope of a Line

20. 3.2 – The Slope of a Line

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

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

23. 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?

24. 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?

25. 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?