Unit+2++-+Linear+Functions

**VOCAB WORDS**

 * Slope- the term used to describe the measurement of the steepness of a linear equation.**
 * Domain- The set of input values.**
 * Range- The set of output values.**
 * Ordered pair- Can be used to show the position on a graph where "x" value is first and the "y" value is second.**
 * Function- A special relation where each input only has one output.**

WRITING EQUATIONS FOR LINES

 * You need to be able to write equations when given the following pieces of info:**


 * 1. A graph of a line**
 * 2. The y-intercept and the slope**
 * 3. A point on the line and the slope**
 * 4. Two points on the line**
 * 5. A point and a line that is parallel or perpendicular to the line.**

THE GRAPH OF A LINE
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 * 1. Find two perfect points**
 * 2a. Use the slope formula (mx+b)**
 * 2b. Identify the y-intercept and the slope**

A POINT AND A SLOPE

 * 1. Substitute the order pair (x,y) into the equation**
 * 2. Solve to determine the y-intercept**
 * 3. Follow the steps for a slope and y-intercept**


 * COMMON MISUNDERSTANDING: The y variable and the b parameter are different. There is only one possible y-intercept (b) for any given line. There are many possible outputs of (y) for the equation.**
 * Example: y=mx+b**
 * point (1,2) slope= 7**
 * 2=7(1)+b**
 * 2=7+b**
 * b=-5**
 * y=7x-5**

TWO POINTS

 * 1. Use the slope formula**
 * 2. Pick one of the two points and follow for a slope and a point**

PARALLEL LINES

 * 1. Use the slope from the parallel equations**
 * ex: parallel to y+3x-4**
 * y intercept= 2**

=﻿PERPENDICULAR LINES= =**1. Use the opposite sign reciprocal from the parallel equation**=

***The y-intercept of the given line does not matter**
= = =Is It A Function?=

= = =**Helpful Links**=
 * SUMMARY:**
 * Writing equations for lines is a sequential process. Think about the information you are**
 * given and use the formula y= mx+b to find the missing information**
 * Order of operations- []**
 * Is a graph a function?- []**
 * More info on Linear Functions- []**
 * Solving multi-step equations- []**
 * X and y intercept- []**
 * Write and equation on a line- []**
 * Graph an equation- []**
 * video on graphing equations - []**
 * F of x- []**