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Common Core Example: 8.EE.C.8
Standard Form
Ax +By =C
A,B,C, are all numbers
Use when you want to graph. Use when you want know the x intercept.
For example y=2x-2
Rewrite 2x-y=2
A = 2
B= -1
C =2  ## Equation of a Line    # Define Linear Equation

mthe slope, which is calculated by counting Rise over Run.

Slope can also be calculated using the slope formula, when you have two points on the line:

bthe y-intercept.  This is the point in which the line intercepts the y-axis.
In this example the slope  or m =  2/3

The y-intercept or b = -2

Resulting in the  equation
•  y= 2/3x  -  2
Y intercept
linear equation is an equation that describes a straight line. One form of a linear equation is the slope intercept form which is written, y=mx +b. In this equation the m represents the slope of the line and the b represents the y intercept. For example, y= 4x + 3 means: the line has a slope of +4, and crosses the y intercept at 3. There are several forms of linear equations including, slope intercept form, point slope formula, and the standard form. A different forms allow you to describe the same line in different ways.
Remember the X axis runs horizontally and  the Y axis runs up and down or vertically.
Rise  2
Run 3
For additional help with Linear Equations visit  Slope of a Line

## The formula for a linear equation is y= mx +b

Slope
y intercept ## Writing linear equations

Given a graph:

1.  Find the slope by counting rise or run

2.  Identify the y intercept (where the line crosses the y-axis)

3.  Plug in slope which is represented by m, and the y-intercept represented by  b, into the formula  y = mx + b

## Different types of linear equations

Slope-intercept form: y=mx+b
-use when you have a graph or
-when you have the slope and y-intercept
Point-slope form:    y-y1 = m(x-x1)
-use when you know the slope and one point

x1 and y1 are known points
m =slope
x and y are any other points on the line
​Written as a function:
​A line can be written in function notation by replacing y with f(x).
f(x) = mx +b
Identity function:  f(x) =x