graphing slope-intercept form

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Graphing Slope-Intercept Form. Stand-Alone Instructional Resource CEP811 Deborah Johnson. Let’s Get Started! Click Here!. Lesson Objectives. Students will master the following 8 th grade Introduction to Algebra and Geometry Instructional Standards:. - PowerPoint PPT Presentation

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  • Graphing Slope-Intercept FormStand-Alone Instructional Resource

    CEP811Deborah Johnson

  • Students will master the following 8th grade Introduction to Algebra and Geometry Instructional Standards:

    Lesson ObjectivesGraph linear equations in slope intercept form y = mx + b (GPS) (8MA_E2009-58)

    Determine the meaning of the slope and y-intercept in a given situation (GPS) (8MA_E2009-57)

    Interpret slope as a rate of change (GPS) (8MA_E2009-56)

  • What do you need to know about slope-intercept form?First!Click on the boxes below to explore each definition!Second!Lets Graph!

  • The constant change of a line is called the slope of the line. Holt Textbook Pg 311You should know two things about slope:

    If you are not familiar with either topic, click on the box for a quick review.

    DefinitionsHome Page!

  • We read slope just like we would read a book: From LEFT to RIGHT.

    The direction your line moves indicates the type of slope.

  • Types of SlopeThere are FourClick on the green boxes to further explore each type!Slope Home Page!

  • It does not matter WHERE the line is located on the coordinate plane, but rather the direction. Often, we think of positive slope as a line going UP.

    We can see slope in real life!Can you see the POSITIVE slope in the picture above? (click on the picture to check your answer)With POSITIVE slope, the line rises from left to right.

  • With NEGATIVE slope, the line falls from left to right.

    Often, we think of negative slope as a line going DOWN.

    Check out the picture to the left! Can you find the NEGATIVE slope? (click on the picture to check your answer)

  • Zero slope always looks like a HORIZONTAL line.

    An easy way to remember this is by visualizing a person walking on your line.The person has ZERO slope because they do not go up or down.

    Click on the graph to see this!

  • VERTICAL lines have undefined slope.

    Think of undefined slope as having no where else to go, but upor down!

    Where would our person go in this graph? (click on the graph to see!)

  • Lets Practice!Tell whether the slope of each line is positive, negative, zero, or undefined.Click on the graph to check your answer!PositiveThe graph rises from left to right.NegativeThe graph falls from left to right.NegativeThe graph falls from left to right.UndefinedThe graph is a vertical line.ZeroThe graph is a horizontal line.PositiveThe graph rises from left to right.

  • We graph slope using

    change in ychange in xSlope Home Page!Ready to Explore?Click the Video Link on the Next Slide!

  • Counting Slope VideoRemember

    You need at least two points to graph slopeRead slope from left to rightClick on the Video Above to ViewClick HERE to view online.

  • Can You Find It?Using , find the slope of the line.A. - B. -3 C. D. 3 1. Should you have a positive or negative slope?Should you have a positive or negative slope?Remember, rise over run .Correct! Click on your answer choice.

  • Can You Find It?Using , find the slope of the line.2. A. 2 B. -2 C. D. - Should you have a positive or negative slope?Should you have a positive or negative slope?Remember, rise over run .Correct! Great Job!!!Click on your answer choice.

  • Need more practice?Ready to move on?Using algebra.help, look at each graph and enter the appropriate slope. Click on Check Worksheet at the bottom of the page to check your work!Practice Here!Back to Definitions!

  • The y-intercept is the y-coordinate of the point where the graph intersects the y-axis. The x-coordinate of this point is always 0. Holt Textbook Pg 303The x-intercept is the x-coordinate of the point where the graph intersects the x-axis. The y-coordinate of this point is always 0. Holt Textbook Pg 303Lets See How to Remember This Vocabulary!(0, y-intercept)(x-intercept, 0)DefinitionsHome Page!

  • http://espn.go.com/video/clip?id=5667192Football!When you hear intercepts, think: Think of your line like the path Denard Robinson wanted his football to be thrown.The y-intercept represents the point where the line crosses the y-axis.

    For our story, this is where Chris L. Rucker intercepts the ball.The x-intercept represents the point where the line crosses the x-axis.

    For our story, lets suppose Michigan Stateintercepts the ball againat the x-axis. Click on the Player to Hear a Story about the Video!

  • Lets Practice!Find the x- and y- intercepts.Where does the line cross the y-axis?Where does the line cross the y-axis?Where does the line cross the x-axis?Where does the line cross the x-axis?The x-intercept is: The y-intercept is: The x-intercept is: The y-intercept is: 5-421A.B.

  • Your Turn!Find the x- and y- intercepts.The x-intercept is: The y-intercept is: The x-intercept is: The y-intercept is: C.D.4Click on the question to view the answer.-124

  • y = mx + b

    If a line has slope m and the y-intercept b, then the line is described by the equation y = mx + b. Holt Textbook Pg 335slopey-interceptDefinitionsHome Page!

  • Can you recognize slope-intercept form?Lets PlaySlope-Intercept FormNot!or

  • orSlope-Intercept FormNot!Skip to NextProblem!Slope-InterceptDefinition!Click on your answer!

  • Correct!What is the y-intercept?What is the slope?4-2Click on the question to view the answer.NextProblem!

  • Try Again!y = mx + bslopey-interceptRememberGoBack!

  • orSlope-Intercept FormNot!Skip to NextProblem!Slope-InterceptDefinition!GoBack!Click on your answer!

  • Try Again!y = mx + bNotice! y should be ISOLATED (by itself) on one side of the equationRememberGoBack!

  • Correct!Is NOT in slope-intercept form!

  • + 2x+ 2xy = 2x + 6The slope is 2.The y-intercept is 6.NextProblem!

  • orSlope-Intercept FormNot!Slope-InterceptDefinition!GoBack!Click on your answer!

  • Correct!What is the y-intercept?What is the slope?-3/40Click on the question to view the answer.+ 0DefinitionsHome Page!Time to Learn GRAPHING!

  • Try Again!y = mx + bslopey-interceptRememberGoBack!Hint: If there is NO y-intercept, would we have to write zero?

  • Graphing Slope-Intercept FormFirst!Second!Graphing Slope-Intercept FormMatching Equationsto GraphsBack toDefinitionsHome Page!

  • y = mx + bslopey-interceptRememberSlope-intercept form is:Click on the Video Above to ViewGraphing Slope-Intercept FormFIRST, always plot the y-intercept.SECOND, graph your slope.Click HERE to view online.

  • Lets Practice!Graphing Slope-Intercept FormUsing the following math applet, practice graphing slope-intercept form.

    Remember! FIRST plot the y-intercept, THEN plot the slope.

  • Matching Equations to GraphsExample 1y = mx + bm = slope b = y-interceptFIRST find the y-intercept:b =y = __ x + ___- 4NOW count the slope :click here to continuem =2y = 2x - 421On the graph, click on the correct y-intercept.?- 42watch the graphwhich means

  • Matching Equations to GraphsExample 2y = mx + bm = slope b = y-interceptFIRST find the y-intercept:b =y = __ x + ___3NOW count the slope :click here to continuem =-y = -x+3-12On the graph, click on the correct y-intercept.?3-watch the graphwhich means

  • Lets Practice!Identify the equation of the line written in slope-interceptform that matches the provided graph.A.B.C.D.

  • Try Again!

    Check Your Slope!Should your slope be Positive or Negative?

    Did you mix up ?GoBack!

  • Try Again!

    Check Your Intercept!y = mx + bMake sure you picked the Y intercept and not the X intercept!GoBack!

  • Correct!

    NextProblem!

  • Lets Practice!Identify the equation of the line written in slope-interceptform that matches the provided graph.A.B.C.D.

  • Try Again!

    Check Your Slope!Should your slope be Positive or Negative?

    Did you mix up ?GoBack!

  • Try Again!

    GoBack!Check Your Intercept!y = mx + by-intercept

  • Correct!

    NextProblem!

  • Final Challenge!Write the equation of the line for each provided graph. To check you answer, click on the graph!

  • You Did It!You have successfully completed the Graphing Slope-Intercept Form Stand-Alone Instructional Resource!GreatJob!!!

  • ResourcesAuthor: Deborah JohnsonCreated in: Microsoft PowerPointClip art: Microsoft PowerPointDefinitions and math images: Holt Algebra 1 TextbookHolt, Rinehart and Winston Publicationshttp://www.algebrahelp.com/worksheets/view/graphing/slope.quizhttp://espn.go.com/video/clip?id=5667192http://www.ltcconline.net/greenl/java/BasicAlgebra/LineGraph/LineGraph.htmWebsites:Videos: Created by Deborah Johnson using Interwrite LearningSound: Microsoft PowerPoint & Soungle

    Graphing Slope-Intercept Form Stand-Alone Instructional ResourceAuthor: Deborah JohnsonAfter completing this stand-alone instructional resource, students will understand how to graph linear equations written in slope-intercept form.

    *Instructional Standards are aligned to Gwinnett County Public Schools Academic Knowledge and Skills.****

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