Graphing a Linear Equation Using Slope

Slope

Recall that slope is a measure of the steepness of a line. It can be described as positive, negative, zero, or undefined.

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  • y = x + 2
  • positive slope
  • y increases as x increases

 

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  • y = −x + 2
  • negative slope
  • y decreases as x increases

 

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  • y = 2
  • zero slope
  • y remains constant for each value of x
  • the equation of a horizontal line is defined by its constant y-value

 

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  • x = 2
  • undefined slope
  • x remains constant for each value of y
  • the equation of a vertical line is defined by its constant x-value

 

Graphing Linear Equations in Slope-Intercept Form

Graphing Linear Equations in Slope-Intercept FormPlotting points on the coordinate plane is key to learning how to graph a line. In this interactivity, you will apply your knowledge of plotting points as you learn how to graph a line using its slope and y-intercept. Click the player button to begin.

View a printable version of this interactivity.

 

 

Practical Problem

Casey plans to participate in a marathon to raise funds for the sophomore class trip. She will ask individuals to make an initial contribution of $3 plus $2 for each mile she runs.

This scenario is modeled by the equation y = 2x + 3, where x represents the number of miles run and y represents one donor's total contribution.

Use the graph to determine the total contribution from one donor if Casey runs 3 miles.

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Hover your cursor over the image below to view the correct answer.

According to the graph of the linear equation, when x = 3, y = 11. Therefore, if Casey runs 3 miles, one donor’s total contribution will be $11.

 

Graphing Parallel and Perpendicular Lines

Graphing Parallel and Perpendicular LinesIn earlier math courses, you learned about parallel and perpendicular lines. Parallel lines are lines that are included on the same plane and never intersect. On the other hand, perpendicular lines intersect to form right angles. Get ready to extend your knowledge of parallel and perpendicular lines as you learn to graph them on the coordinate plane. Click the player button to begin.

View a printable version of this interactivity.

 

More Parallel and Perpendicular Lines

Take a moment to study the graphs provided.

All horizontal lines are parallel.

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All vertical lines are parallel.

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A horizontal line is perpendicular to a vertical line.

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Graphing a Linear Equation Using Slope Review

self-check iconGraphing a Linear Equation Using Slope ReviewNow that you have explored graphing a linear equation using slope, it is time to review your knowledge and practice what you have learned. Click the player button to get started.

 

 

 


digital repository iconDid you answer the content review questions incorrectly? Do you want more instruction or extra practice? If so, view the video Graphing a Line When Given Its Equation in Slope-Intercept Form from eMediaVASM.