1. INTERCEPTS & SYMMETRY 2/22/2016 3:06:57 AM 2-2: Graphs of Equations 1

2. X- & Y-Intercepts 2/22/2016 3:06:57 AM2-2: Graphs of Equations 2 Where are x-intercepts for a graph? Where are y-intercepts for a graph? WHERE IT CROSSES THE X-AXIS WHERE IT CROSSES THE Y-AXIS What is the value of y when looking for an x-intercept? What is the value of x when looking for a y-intercept? y = 0 x = 0

3. Finding Intercepts: 2/22/2016 3:06:57 AM2-2: Graphs of Equations 3  Steps 1. To find x-intercepts, plug in zero for y; solve for x. Write as a coordinate point. 2. To find y-intercepts, plug in zero for x; solve for y. Write as a coordinate point.

4. Example 1 2/22/2016 3:06:57 AM2-2: Graphs of Equations 4  Find x- and y-intercept: 3x + 4y = 12 X-intercept:Y-intercept:

5. Example 2 2/22/2016 3:06:57 AM2-2: Graphs of Equations 5 6x − 2y = 12 and find x- and y-intercept

6. Your Turn 2/22/2016 3:06:57 AM2-2: Graphs of Equations 6 -4x + y = 10 and find x- and y- intercept

7. Example 3 2/22/2016 3:06:57 AM2-2: Graphs of Equations 7  Find the x and y-intercepts: X-intercept: Y-intercept:

8. Your Turn 2/22/2016 3:06:57 AM2-2: Graphs of Equations 8  Find the x and y-intercepts:

9. Example 4  Find the x and y-intercepts: X-Intercept: none Y-Intercept: There is not an x to plug zero into. So when x=0, y is still equal to 4.

10. Example 5  Find the x and y-intercepts: X-Intercept: none Y-Intercept: There is not a y to plug zero into. So when y=0, x is still equal to 7.

11. Definitions 2/22/2016 3:06:57 AM2-2: Graphs of Equations 11  Symmetry is well-defined concept of balance  Origin is where the x and y-axis meet (Point (0,0))  Intercepts is where the graph crosses the axis  LABEL in coordinate point

12. Symmetry 2/22/2016 3:06:57 AM2-2: Graphs of Equations 12 originx - axis all y - axis none

13. Example 1 2/22/2016 3:06:57 AM2-2: Graphs of Equations 13  List the intercept(s) that cross the x-axis:

14. Example 1 2/22/2016 3:06:57 AM2-2: Graphs of Equations 14  List the intercept(s) that cross the y-axis:

15.  Is it symmetric to: the x-axis, y- axis, and/or origin? Example 1 2/22/2016 3:06:57 AM2-2: Graphs of Equations 15

16.  List the intercept(s) that cross the x-axis: Example 2 2/22/2016 3:06:57 AM2-2: Graphs of Equations 16

17.  List the intercept(s) that cross the y-axis: Example 2 2/22/2016 3:06:57 AM2-2: Graphs of Equations 17

18.  What is it symmetric to: the x-axis, y-axis, and/or origin? Example 2 2/22/2016 3:06:57 AM2-2: Graphs of Equations 18

19.  What are its intercepts and is it symmetric to the x-axis, y-axis, and/or origin? Your Turn 2/22/2016 3:06:57 AM2-2: Graphs of Equations 19

20. ASSIGNMENT 2/22/2016 3:06:57 AM2-2: Graphs of Equations 20 Worksheet: Due Block Day