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Putting Linear Equations into Function Form Notes Absent copy Tues./Wed. 4/16,17

Putting Linear Equations into Function Form Notes Absent copy Tues./Wed. 4/16,17.

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Putting Linear Equations into Function Form Notes Absent copy Tues./Wed. 4/16,17

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  1. Putting Linear Equations into Function Form NotesAbsent copyTues./Wed. 4/16,17

  2. A line not in function/Slope-intercept form3x + y = 5A line in function/Slope-intercept formy = -3x + 5Same line just 2 different ways of writing equation.When putting an equation of a line in function/slope-intercept form you want to get Y on a side by itself.

  3. Example 1 • Rewrite in function form (slope-intercept form) and find three ordered pairs that are a solution to the linear equation. y + 2 = 2x -2 = -2 y + 0 = 2x -2 y = 2x - 2 x y 0 1 2 • What variable do we want to get all by itself? • We want to get y by itself. • So what are we going to do first and what inverse do we use? • We use the inverse of pos. 2 and sub. 2 from both sides. • What is the slope (m)? • 2 is the slope. • What is the constant (b)? • -2 is the constant. • What is the direction of the line? • The direction goes up hill.

  4. Graph from Example 1 • Show the work from example 1 below. • Y = 2(0) – 2 y = 0 + -2 y = -2 • Y = 2(1) – 2 y = 2 – 2 y = 0 • Y = 2(2) – 2 y = 4 – 2 y = 2

  5. Example 2 Rewrite in function form (slope-intercept form) and find three ordered pairs that are a solution to the linear equation. y + 1x = 3 -1x = -1x y + 0 = -1x + 3 y = -1x +3 x y 0 1 2 • What variable do we want to get all by itself? • We want to get y by itself. • So what are we going to do first and what inverse do we use? • We use the inverse of pos. 1x and sub. 1x from both sides. • What is the slope (m)? • -1 is the slope. • What is the constant (b)? • 3 is the constant. • What is the direction of the line? • The direction goes down hill.

  6. Graph from Example 2 • Show the work from example 2 below. • 1. y = -1x + 3 y = -1(0) + 3 y = 3 • 2. y = -1(1) + 3 • y = -1 + 3 y = 2 • 3. y = -1(2) + 3 y = -1(3) + 3 y = -3 + 3 y = 0

  7. On your Own Rewrite in function form (slope-intercept form) 8y + 2 = 4x Rewrite in function form (slope-intercept form) 3y + 4x = 16

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