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# Lecture 2.1 2.2a bt

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### Lecture 2.1 2.2a bt

1. 1. Today’s Agenda • Attendance / Announcements – Exam 1 – Tuesday 9/24 • Covers Chapters 1.1 to 2.4 (skip 2.5) • Questions from HW? • Section 2.1, 2.2a • Quiz • Have a good weekend (Go Birds!)
2. 2. Graphing on the Coordinate Plane Quadrant I (+, +) Quadrant II (-, +) Quadrant IV (+, -) Quadrant III (-, -) (x, y)
3. 3. Coordinate Points (x, y)
4. 4. Equations of two variables To “solve” this, we need to find values of both x and y that satisfy the equation. 32xy We then write these solutions as coordinate points (ordered pair)
5. 5. Equations of two variables For most multi-variable equations, there can be an infinite number of solutions. 32xy
6. 6. Equations of two variables First, can we find any solutions to this equation? 32xy
7. 7. Equations of two variables Next, we need to be able to verify if an ordered pair is a solution to the equation 32xy
8. 8. Equations of two variables 32xy
9. 9. Graphing Equations To graph an equation in two variables is to plot the points whose ordered pairs are solutions to the equation This can be done with a “T-Chart”
10. 10. Sketch the Graph of 3xy
11. 11. Sketch the Graph of 243 yx
12. 12. Intercepts The x-intercept of a graph is the x- coordinate of where the graph crosses the x-axis The y-intercept of a graph is the y- coordinate of where the graph crosses the y-axis
13. 13. Intercepts To find the x-intercept: • Set y = 0 • Solve for x To find the y-intercept: • Set x = 0 • Solve for y 0,x y,0
14. 14. Find the intercepts of… 1232 yx
15. 15. Find the intercepts of… 165 2 xxy