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= O SYSTEMS OF LINEAR EQUATIONS Graphing a linear inequality in the plane: Slope-intercept form Graph the inequality. y> -3x+3 -8 8 X

= O SYSTEMS OF LINEAR EQUATIONS Graphing a linear inequality in the plane: Slope-intercept form Graph the inequality. y> -3x+3 -8 8 X

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter5: Solving Systems Of Linear Equations
Section: Chapter Questions
Problem 17CR
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### Graphing a Linear Inequality in the Plane: Slope-Intercept Form **Objective:** Learn how to graph the linear inequality \( y > -3x + 3 \). #### Instructions: 1. **Graph the inequality:** - To graph the inequality \( y > -3x + 3 \), start by considering the boundary line \( y = -3x + 3 \). - This line should be dashed to indicate that points on the line do not satisfy the inequality, as it is a strict inequality ('greater than'). 2. **Identify the region:** - The area above the dashed line represents the solution to the inequality \( y > -3x + 3 \). - This is because the inequality specifies that \( y \) is greater than \( -3x + 3 \). 3. **Graph Details:** - The graph includes a coordinate plane with x-axis and y-axis ranging from -10 to 10. - Tools for graphing are available, such as a pencil for drawing, an eraser, and a tool for shading the correct region. #### Practice: After graphing, use the “Check” button to verify your solution. If you need assistance, click "Explanation" for step-by-step guidance.
Transcribed Image Text:### Graphing a Linear Inequality in the Plane: Slope-Intercept Form **Objective:** Learn how to graph the linear inequality \( y > -3x + 3 \). #### Instructions: 1. **Graph the inequality:** - To graph the inequality \( y > -3x + 3 \), start by considering the boundary line \( y = -3x + 3 \). - This line should be dashed to indicate that points on the line do not satisfy the inequality, as it is a strict inequality ('greater than'). 2. **Identify the region:** - The area above the dashed line represents the solution to the inequality \( y > -3x + 3 \). - This is because the inequality specifies that \( y \) is greater than \( -3x + 3 \). 3. **Graph Details:** - The graph includes a coordinate plane with x-axis and y-axis ranging from -10 to 10. - Tools for graphing are available, such as a pencil for drawing, an eraser, and a tool for shading the correct region. #### Practice: After graphing, use the “Check” button to verify your solution. If you need assistance, click "Explanation" for step-by-step guidance.
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