AFDA – Unit 2: Linear Functions Pt 2
Day 1 Notes: Graphing Linear Equations
Name: _________________
Block: _____ Date:_______
Today you will review…
 domain and range of a linear function
 how to graph linear equations in:
o slope-intercept form
o standard form
o special cases
Key Terms
X-Intercept: The point where a graph crosses the ____________________.



Y-Intercept: The point where a graph crosses the ____________________.
Domain
All the ____________________.
Read from ___________________________.
Range
All the ____________________.
Read from ___________________________.
The domain and range of a LINEAR FUNCTION will always be _________________.
𝑦=𝑥
Domain: (−∞, ∞)
Range: (−∞, ∞)
Three Ways to Graph Lines
Method 1: Using a table of values
Method 2: Using slope and y-intercept
Method 3: Using x- and y- intercepts
Method 1: Table of Values
When it looks like:
 𝑦 = 𝑚𝑥 + 𝑏
 Easiest when 𝑚 is an
____________________
Examples.
1. 𝑦 = 2𝑥 − 3
𝑥
2. 𝑦 = −3𝑥 + 4
𝑦
Domain:
𝑥
Range:
3. 𝑦 = 4𝑥 + 2
𝑥
Domain:
How to Use:
1. Pick at least _____ numbers for x
and plug into the function.
2. Get _____ values.
3. __________.
4. Connect the points using a straight
edge.
𝑦
Domain:
Range:
4. 𝑦 = −𝑥 − 2
𝑦
𝑥
Range:
Domain:
𝑦
Range:
Method 2: Using Slope and Y-Intercept
When it looks like:
 𝑦 = 𝑚𝑥 + 𝑏
 Especially when 𝑚 is a
____________________
Examples.
3
1. 𝑦 = − 𝑥 + 2
How to Use:
1. Identify the __________ (m) and the
__________ (b).
2. Plot “b” (think BEGIN)
3. Using __________ (m), MOVE from b
and plot next point.
4. Connect the points using a straight
edge.
2
2. 𝑦 = 𝑥
4
5
𝑚=
𝑚=
𝑏=
𝑏=
Domain:
Range:
Domain:
3. 2𝑦 = −𝑥 + 6
4. 3𝑦 = 5𝑥 − 9
𝑚=
𝑚=
𝑏=
𝑏=
Domain:
Range:
Domain:
Range:
Range:
Method 3: Using X- and Y-Intercepts
When it looks like:
 𝐴𝑥 + 𝐵𝑦 = 𝐶
How to Use:
1. Solve for the ____________________
by plugging in 0 for 𝑦.
2. Plot the x-intercept.
3. Solve for the y-intercept by plugging in
0 for _______.
4. Plot the y-intercept.
5. Connect the points using a straight
edge.
aka
Examples.
1. 3𝑥 − 2𝑦 = −6
2. 3𝑥 + 2𝑦 = −12
𝑥 − 𝑖𝑛𝑡:
𝑥 − 𝑖𝑛𝑡:
𝑦 − 𝑖𝑛𝑡.:
𝑦 − 𝑖𝑛𝑡.:
Domain:
Range:
Domain:
3. 8𝑥 = 24 + 6𝑦
4. 𝑥 = 4 − 𝑦
𝑥 − 𝑖𝑛𝑡:
𝑥 − 𝑖𝑛𝑡.:
𝑦 − 𝑖𝑛𝑡.:
𝑦 − 𝑖𝑛𝑡.:
Domain:
Range:
Domain:
Range:
Range:
Special Cases: HOY and VUX
H0Y
VUX
Domain: (−∞, ∞)
Domain: equation of line, 𝑥 = #
Range: equation of line, 𝑦 = #
Range:(−∞, ∞)
Examples.
1. 𝑦 = −2
2. 𝑥 = −2
Domain:
Domain:
Range:
Range:
3. 𝑦 = 4
4. 𝑥 = 4
Domain:
Domain:
Range:
Range:
5. 𝑦 = 3
6. 𝑥 = 3
Domain:
Domain:
Range:
Range: