1. Identifying Graphs of Linear Equations
Slope m, y-intercept form
y = mx + b

2. Which graph represents:
Positive slope
Slope m
y-intercept
Start by identifying the y-intercept.
Where does the line cross the y-axis?
The variable b represents the y-intercept.
Negative slope
The line will cross the y-axis at positive 2.
Negative slope
The variable m represents the slope of the line.
The slope of this line is positive 2.

3. Which graph represents:
Positive slope
Slope m
y-intercept
Start by identifying the y-intercept.
Where does the line cross the y-axis?
The variable b represents the y-intercept.
Negative slope
Rise -2
The line will cross the y-axis at positive 2.
Negative slope
Rise -1
Run 2
The variable m represents the slope of the line.
Run 1
The slope of this line is negative 2.

4. Which graph represents:
Positive slope
y-intercept
Slope m
Start by identifying the y-intercept.
Where does the line cross the y-axis?
The variable b represents the y-intercept.
The line will cross the y-axis at positive 1. (+1)
The variable m represents the slope of the line.
Negative slope
The slope of this line is positive 1/4.

5. Which graph represents:
Positive slope
y-intercept
Slope m
Start by identifying the y-intercept.
Where does the line cross the y-axis?
The variable b represents the y-intercept.
The line will cross the y-axis at positive 1. (+1)
The variable m represents the slope of the line.
Negative slope
The slope of this line is negative 1/4.

6. Which graph represents:
y-intercept
Positive slope
Slope m
Positive slope
Start by identifying the y-intercept.
Where does the line cross the y-axis?
The variable b represents the y-intercept.
The line will cross the y-axis at negative 1. (-1)
Negative slope
The variable m represents the slope of the line.
The slope of this line is positive 1/4.

7. Which graph represents:
Run 2
Negative slope
Slope m
y-intercept
Rise 2
Start by identifying the y-intercept.
Where does the line cross the y-axis?
The variable b represents the y-intercept.
Run 2
The line will cross the y-axis at negative 2. (-2)
Negative slope
The variable m represents the slope of the line.
Rise 3
The slope of this line is positive 1
(identity property of multiplication.)

8. Identify the equation for each line graphed.
Challenge:
Identify the equation for each line graphed.
y = m x + b
y = m x + b
y = m x + b
y-intercept
y-intercept
y-intercept
Where m = slope;
Where m = slope;
Where m = slope;
Where b = y-intercept
Where b = y-intercept
Where b = y-intercept