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WRITING AN EQUATION OF A LINE Lesson Five Part One
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WARM UP NOTE: To change images on this slide, select a picture and delete it. Then click the Insert Picture icon in the placeholder to insert your own image. Today’s warm up is a Scavenger Hunt. You and your partner will have ten minutes to complete this activity. You may start at ANY work card/station. You will need to find the SLOPE of the lines. Work carefully, it’s for a grade.
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Today we are going to write the equation of a line using a table, graph and values for m and b. m = slope y = y-intercept
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What have you learnt so far….. Time36912 Money$15$30$45$60
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Slope intercept form…… y = mx + b slopey-intercept
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Writing the equation from a graph…. y = mx + b Use slope-intercept form. y = x + (–2) 3 4 Substitute for m and –2 for b. 3 4 Simplify.
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Now you try. Find the equation of the line. What should you do first? What should you do second? What is your answer?
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Write an equation of the line that has the given slope and y- intercept. 1. m = 3, b = 1 y = 3x + 1 ANSWER 2. m = –2, b = –4 y = –2x – 4 ANSWER y = – x + 3 4 7 2 ANSWER Writing equations given slope (m) and y-intercept (b)... y = mx + b slopey-intercept
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Now you try. Write the equation of the line given the slope and the y-intercept. a.slope: 2; y-intercept: -6 b.slope: ½; y-intercept: 3 c.slope: -1; y-intercept: -6
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Writing equations from tables... XY 05 212 419 626 833
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Now you try….find the equation of the line from the table. 0 4 8 12 16 –3 0 3 6 9 x y
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CLASSWORK Answer # 1 – 9 on the blue sheet. Check your answer. If you have everything correct, you may move on to the next station. Answer #s 10 – 15 on the green sheet. Check your answers. If you have all six correct, move on to the next station. Answer #s 16 – 20 on the yellow sheet. Check your answers. If all your answers are correct, turn you work in to be graded.
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HOMEWORK Complete the following pages from your workbook :
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