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3.5 graph slope intercept form ink.notebook October 28, 2016 Page 134 Page 133 Page 132 3.5 Graphing in Slope-Intercept Form Lesson Objectives Standards Page 135 3.5 Graphing in SlopeIntercept Form Press the tabs to view details. 1 3.5 graph slope intercept form ink.notebook Standards Lesson Notes A.SSE.2 A.CED.2 A.REI.10 F.IF.2 F.IF.4 F.IF.7 F.IF.8 F.BF.1 I will rewrite a linear function into slopeintercept form I will write the equation of a line from a given graph in slopeintercept form I will graph a linear function and show that the points on the graphs are solutions I will evaluate a function in slopeintercept form for a specific value I will graph a function using slope and yintercept I will graph a linear function using slope and yintercepts I will convert standard form to slopeintercept form I will write a linear function from a graph into slopeintercept form F.LE.2 I will write a linear equation into slopeintercept form from a graph Press the tabs to view details. October 28, 2016 Lesson Objectives Standards Lesson Notes A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. a. Graph linear and show intercepts. S.ID.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data Press the tabs to view details. slope (m) = 4 y-intercept = -5 y = slope(x) + y-int y = mx + b y = __x + __ y y = mx + b x rise run y-intercept y = __x + __ 2 3.5 graph slope intercept form ink.notebook October 28, 2016 Graphing a line in slope-intercept form: 1. Identify the y-intercept. y = -2x + 3 (The number by itself.) If it is positive you go up. ordered pairs ( , vs If it is negative you go down. slope ) rise run 2. Identify the slope. (The number in front of x.) You might have to put into fraction form. plot point first ( , ) Then use slope to get more points Rise Run if neg if pos change to: y = -2x + 3 y = -2x + 3 1 from your starting dot go 2 then 1 always to right 3. Connect your 3 dots. y = -2x + 3 Straight line with arrows. Use the slope and y-intercept to graph each equation. 3 3.5 graph slope intercept form ink.notebook October 28, 2016 4. y = 2x – 4 6. 9. y = x 4 3.5 graph slope intercept form ink.notebook October 28, 2016 Slope Intercept Form: y = mx + b, where m is the slope and b is the yintercept Put into slope intercept form by getting y by itself. a) Add or subtract the x 2x + y = 3 Put into slope intercept form by getting y by itself. Put into slope intercept form by getting y by itself. Must do both part a and b b) Divide each piece by what is in front of y a) Add or subtract the x 2y = 4x + 6 6x + 3y = 9 b) Divide each piece by what is in front of y Put into Slope-intercept form. (y = mx + b form) Remember, slope is a reduced fraction. 7. 2x + y = 12 8. 4x – y = 9 Put into Slope-intercept form. (y = mx + b form) Remember, slope is a reduced fraction. 9. x + 2y = 8 10. –3x + y = 9 5 3.5 graph slope intercept form ink.notebook October 28, 2016 Put into Slope-intercept form. (y = mx + b form) Remember, slope is a reduced fraction. 11. 2x – 3y = 6 12. x + 4y = 12 a) y = 4x – 2 b) On Your Whiteboards 6 3.5 graph slope intercept form ink.notebook October 28, 2016 Put into Slope-intercept form. (y = mx + b form) Remember, slope is a reduced fraction. c) d) x + 3y = 9 e) 2x y = 8 Help students discover that the equation f(x) = mx + c corresponds to slopeintercept form y = mx + b. Have students press Compute Slope to see a process for finding the slope of each line. Pull for Teacher's Notes SlopeIntercept Form mx +m and b form) Put into Slope-intercept form. (y = Set the c buttons to graph: Remember, slope is a reduced fraction. 1) f(x) = 5x 4 1) f(x) = 5x 4 2) f(x) = x + 2 Hint: Slopeintercept from is y = mx + b. Pull for Answer Then, determine the slope and yintercept for each line. Pull for Instructions f) 5x 2y = 10 slope: 5 yintercept: 2) f(x) = x + 2 slope: 1 yintercept: 7 3.5 graph slope intercept form ink.notebook October 28, 2016 On the Worksheet Homework slope intercept form: y = mx + b U What letter does your line go through? F A 8 3.5 graph slope intercept form ink.notebook October 28, 2016 4. y = 2x – 3 5. y = –3x – 1 H C N D N I S L I K R What letter does your line go through? What letter does your line go through? 8. y = x + 3 9. y = 4x W N T H A E O Y What letter does your line go through? U R I C S What letter does your line go through? 9 3.5 graph slope intercept form ink.notebook What Happened to the Little Boy Who Swallowed a Silver Dollar? 3. 4x y = 1 4. 3x + 2y = 8 October 28, 2016 What is it called when a giraffe swallows a toy jet? 1. 2x + y = 5 2. 7x + y = 2 5. x + 3y = 12 6. 5x 2y = 18 10 3.5 graph slope intercept form ink.notebook October 28, 2016 9. 7x + 2y 3 = 0 8. 9y 2x = 0 7. 8x 3y = 9 y = Write each equation in slopeintercept form. Then use the slope and yintercept to graph it. The graph will cross a letter outside the grid. WRITE this letter in the box containing the exercise number. 10. 2x + y = 1 7 x + 3 2 2 13. 3x 5y = 20 12. x + 3y = 9 11. 3x + 2y = 4 3 y = x 2 2 G K S R S H F N P T T E 11 3.5 graph slope intercept form ink.notebook October 28, 2016 15. 5x + 4y = 0 14. 3x y = 1 S C E A N T A O H R I E D 7 R W N E L 12