Name ___________________________
Class Period ____
Date __________________
ALGEBRA 1
Lesson 6-2 “ Slope-Intercept Form”
Objective I: Writing Linear Equations
UEQ:
How are linear equations graphed?
LEQ:
_____________________________________________________________________
Eligible Content
M11.D.3.2.2
Given a graph, 2 points, or the slope and a point, write or identify the linear equation
on slope-intercept form.
Warm-Up Exercises
Directions:
1.
Evaluate each expression.
6a + 3
for a = 2
2.
-2b - 5
for b = 3
Vocabulary
Linear Function – _______________________________________________________________.
Parent Function – _______________________________________________________________.
Example: ____________
or
________________
are linear parent functions.
Linear Equation – _______________________________________________________________.
Note: the ________ on the independent variable __________________________________.
Example:
Key Concept
____________________
is the same as
____________________
Slope-Intercept Form of a Linear Equation
The slope-intercept form of a linear equation is:
Where:
y = mx + b
Example #1
Directions:
Identifying Slope and y-intercept
Identify the slope and y-intercept of each equation.
1.
y = -2x + 4
slope is: _____
y-intercept at: (________)
2.
y = ½x - 3
slope is: _____
y-intercept at: (________)
3.
y = 4x - 5
slope is: _____
y-intercept at: (________)
4.
y = -3/4 x - 2
slope is: _____
y-intercept at: (________)
Example #2
Directions:
Writing an Equation
Write an equation in slope-intercept form of the line with the given sloe and y-intercept.
5.
m = 2
y-intercept at ( 0, 4 )
6.
m = 3/8
y-intercept at ( 0 , -3 )
Example #3 Writing an Equation from a Graph
Directions:
Write an equation in slope-intercept for the given line.
m = ______
y-intercept at ( ________ ) so, b = _____
equation:
y = mx +/- b
Assignment: ____________________________________________________________________