Algebra I – Unit 2: Linear Functions
Name:
Period:
Linear Functions’ Characteristics
Slope
Intercept
Form
Linear Functions Key
Characteristics
𝑦 = 𝑚𝑥 + 𝑏
X- Intercept
𝑦 = 2𝑥 + 4
m:
b:
What is slope?
1
𝑦=− 𝑥−4
From a graph:
Where the function (line) touches or
intersects the x – axis
Y-Intercept
Example
3
m:
b:
From a table:
Find the value for x, when y=0
From an equation:
Substitute 0 for the y value & solve
for x to find your x-intercept
From a graph:
Where the function (line) touches or
intersects the y –axis
From a table:
Find the value for y, when x=0
Ex: 𝑓 (𝑥 ) = 2𝑥 + 4
Ex: 𝑓 (𝑥 ) = 2𝑥 + 4
X – int: ________
Y – int: ________
From an equation:
Find the b in slope intercept form
Substitute 0 for the x value & simplify
for y to find your y-intercept