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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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

Warm – up #2 Solutions

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

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

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

 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

Writing Linear Equations

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

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

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

Ticket Out the Door y= x 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?

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