1. Warm-Up 11/19
Which equation is in Standard Form? (also called general form)
Convert the equations to slope-intercept form (That means solve for y)
x = 2y – 3
3x + 5y = 10

2. Opening 11/19 y = 2x+1 5x = 6+3y y/2 = 3 - x
A linear equation is an equation for a straight line
These are all linear equations:
y = 2x+1
5x = 6+3y
y/2 = 3 - x

3. Let’s look more closely at one example (written in slope-intercept form)
The graph of y = 2x+1 is a straight line
Description:
When x increases, y increases 
twice as fast, hence 2x slope is 2
When x is 0, y is already 1. Hence  +1 is also needed
Y-intercept is 1 or (0,1)
So: y = 2x + 1
(0,1)

4. Always Check for yourself that the line contains the points!!
(0,1)
Substitute in some x values to calculate (evaluate) the function, y x
y = 2x + 1 -1
y = 2 (-1) + 1 = -1
y = 2 (0) + 1 = 1 1
y = 2 (1) + 1 = 3 2 3
(0,1)
(0,1)
(0,1)
(0,1)

5. The variables (like "x" or "y") in Linear Equations do NOT have:
Characteristics
There are many ways of writing linear equations, but they usually have constants (like "2" or "c") and must have simple variables (like "x" or "y"). Examples: Non Examples:
 The variables (like "x" or "y") in Linear Equations do NOT have:
exponents  or roots
y = 3x - 6
y - 2 = 3(x + 1)
y + 2x - 2 = 0
5x = 6
y/2 = 3
y2 - 2 = 0
3√x - y = 6
x3/2 = 16

6. Other Common Forms The Identity Function
This function is also called the “Linear Parent Function": y = x
Point-Slope Form
Used for a linear function when you know
A point and the slope
y - y1 = m(x - x1)
Constant Functions
It’s the graph of a horizontal line: y = #

7. Turn in your completion page to your teacher
Work Time
Your turn to practice
Complete questions 1 – 10
Turn in your completion page to your teacher

8. Journal
Describe how to use the slope and y-intercept of a linear equation to graph the line. Also, explain the difference in the slopes and equations for horizontal and vertical lines