The line containing the base of a right triangle has the equation y = 3x + 4. 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

Section 2-8 Graphing Linear Inequalities

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

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.

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

Graph 3x + 1 2 y < 2. Example 1

Graph -x + 2y ≥ 4. Example 1

Graph x – 2y < 4. Example 1

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

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

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