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Linear Functions and Slope-Intercept Form

Linear Functions and Slope-Intercept Form. By Irma Crespo 2010. A linear function forms a line when its solutions are graphed. Recognizing Linear Functions Graphs. Does the graph form a straight line?. ROW 1. Linear. Linear. ROW 2. Linear. Linear. ROW 3. Linear. slope m = 1.

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Linear Functions and Slope-Intercept Form

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  1. Linear Functionsand Slope-Intercept Form By Irma Crespo 2010

  2. A linear function forms a line when its solutions are graphed.

  3. Recognizing Linear FunctionsGraphs Does the graph form a straight line? ROW 1 Linear Linear ROW 2 Linear Linear ROW 3 Linear

  4. slope m = 1 y-interceptb= - 3 Linear equations are often written in the form of y=mx + b. This is called the slope-intercept form. • When an equation is written in this form, m is the slope and b is the y-intercept. Example State the slope and the y-intercept of the graph of y = x -3 Write the original equation. y = x - 3 Rewrite to y = mx + b y = 1x + (- 3) Identify slopem Identify y-interceptb

  5. 1) y = x + 3 Write the original equation. Rewrite to y = mx + b 2) y = 2x - 4 Identify slopem 3) y = 5x Identify y-interceptb 4) y = 9 5) y = ½ x - 1 Your Turn Find the slope mand the y-intercept b.

  6. Your Turn Answers Find the slope mand the y-intercept b. 1) y = x + 3 1) y = 1x + 3 2) y = 2x - 4 2) y = 2x + (- 4) 3) y = 5x + 0 3) y = 5x 4) y = 9 4) y = 0x + 9 5) y = ½ x - 1 5) y = ½ x + (- 1 )

  7. 2 2 2 change in y: up 2 units Write the slope2 as 1 1 1 change in x: right 1 units Use to locate a second point on the graph. slope m = Easy as Pie Graphing The Slope-Intercept Way Graph y = 2x + 1 using the slope and the y-intercept. Find the slope and the y-intercept. y = 2x + 1 Graph the y-intercept 1

  8. 2 change in y: up 2 units 2 2 change in x: right 1 units 1 1 1 Easy as Pie Graphing The Slope-Intercept Way Graph y = 2x + 1 using the slope and the y-intercept. Find the slope and the y-intercept. y = 2x + 1 Graph the y-intercept 1 Write the slope2 as Use to locate a second point on the graph. slope m = Draw a line through the points.

  9. Let’s do more graphing on the whiteboard.

  10. Dinah, The Cat Determine if the equation is a linear function? y = 3x – 7 y = x + 4 y = 6x y = 8/x y = x/5 y = (½) x xy = 9 y = 1 – x y = (¼)x + 2

  11. Turn in your discussion answers. You earn a point towards a quiz below A. If you have an A on the quiz, the point is applied on you lowest scored- homework. The point is added to the percent grade. Exit Slip

  12. Complete the practice worksheet. Work with a partner or on your own. Submit completed worksheet for grading. Solutions are discussed the next day. PracticeWorksheet

  13. Main Resources • Day, et.al. (2009). Math Connects: Concepts, Skills, and Problem Solving. Section 9.2. Columbus:McGraw-Hill. • PowerPoint created by Irma Crespo. University of Michigan-Dearborn, School of Education. Winter 2010.

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