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Warm – up #2 1. Does y vary directly with x ? If so, what is the constant of variation, and the function rule? 2. y varies directly with x, and y = 24.

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Presentation on theme: "Warm – up #2 1. Does y vary directly with x ? If so, what is the constant of variation, and the function rule? 2. y varies directly with x, and y = 24."— Presentation transcript:

1 Warm – up #2 1. Does y vary directly with x ? If so, what is the constant of variation, and the function rule? 2. y varies directly with x, and y = 24 when x = -15, what is x when y = 16

2 Warm – up #2 Solutions

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4 Lesson 2-3 Linear Functions & Slope-Intercept Form Algebra II

5 Learning Objective  To write equations of lines in slope-intercept form

6  Linear Equation – represents a linear function. y = 3x – 7 Solution of a linear equation – any ordered pair (x, y) that makes the equation true.

7  Slope-intercept form – an equation of a line y = mx + b y-intercept slope y-intercept – point where line crosses y- axis x-intercept – point where line crosses x-axis

8 Writing Linear Equations

9 To rewrite a linear equation into slope-intercept form Get the equation into y=+ by solving for y.

10 Write equation in slope-intercept form. What are the slope & y- intercept?

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14 They are perpendicular because the slopes 1 and - 1 are opposite reciprocals!

15 Ticket Out the Door y=12 + 10x models the amount of money in your wallet. y = total in dollars x = # of weeks from today 1. Is it in slope intercept form? 2. What is the slope? 3. What does the slope represent?

16 Assignment: Pg. 78 # 13 – 27 odd, 47 – 49, CC *7, *46, *58


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