1. The line containing the base of a right triangle has the equation y = 3x The leg perpendicular to the base has an endpoint at (6, 1). What is the slope-intercept form of the equation of the line containing the leg?
Problem of the Day

2. Section 2-8 Graphing Linear Inequalities

3. Then Now Objectives You graphed linear equations.
Graph linear inequalities.

4. Common Core State Standards
Content Standards
Common Core State Standards
A.CED.3 – Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.
Mathematical Practices
1) Make sense of problems and persevere in solving them.

5. Linear Inequality: it resembles a linear equation, but with an inequality symbol instead of and equals symbol.
Vocabulary
< or >
Dashed Line
≤ or ≥
Solid Line

6. Graph 3x y < 2.
Example 1

7. Graph -x + 2y ≥ 4.
Example 1

8. Graph x – 2y < 4.
Example 1

9. One tutoring company advertises that it specializes in helping students who have a combined SAT verbal and math score of 900 or less. Write an inequality to describe the combined scores of students who are prospective tutoring clients. Let x represent the verbal score and y the math score. Does a student with a verbal score of 480 and a math score of 410 fit the tutoring company’s guidelines?
Example 2

10. Manuel has $15 to spend at the county fair
Manuel has $15 to spend at the county fair. The fair costs $5 for admission, $0.75 for each ride ticket, and $0.25 for each game ticket. Write an inequality, and draw a graph that represent the number x ride and y game tickets that Manuel can buy.
Example 2

11. p.119 #5, 9, 11, 13, 21, 28, 29
Homework