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

A line not in function/Slope-intercept form 3x + y = 5 A line in function/Slope-intercept form y = -3x + 5 Same 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.

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 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.

Graph from Example 1 Show the work from example 1 below. 1.Y = 2(0) – 2 y = y = -2 2.Y = 2(1) – 2 y = 2 – 2 y = 0 3.Y = 2(2) – 2 y = 4 – 2 y = 2

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 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.

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 = y = 2 3. y = -1(2) + 3 y = -1(3) + 3 y = y = 0

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