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5.1 ____________________________
___________________________
•The equation for a line written in ______________________ form is:
________________________
-____ is the ________ or ________________ of the line.
•____________ can be found on a graph using the formula:
m=
rise
run
•The ___________ the number the _____________ the slope.
•If the slope is “____” the line goes _____________.
•If the slope is “____” the line goes _______.
•If the line is ______________ the ___________________.
•If the line is ____________ the ______________________.
-___ is the _____________, or the _______________ where the
graph ___________________________.
Examples:
1. Write the equation of the line whose slope m is -2 and whose yintercept b is 5.
_______________
(Slope-Intercept form)
_______________
2.Write the equation of the line whose slope m is
intercept b is -5.
_______________
(Substitute the given)
1
and whose y2
3. Write the equation of the line whose slope m is 1 and whose yintercept b is 0.
______________
______________
(simplify)
4. Write the equation of the line whose slope m is 0 and whose yintercept b is 6.
______________
______________
5. Write the equation of the line shown in the graph.
a.
y
-The ________ (m) is found by:
•
x
m=
=
-The ___________ is where the
graph _________ the ___-axis:
b = ____
-so the equation of this line is: _______________
b.
y
x
-The equation of this line is: _______________
c.
d.
y
y
x
_______________
x
_______________
Examples: Graph the following linear equations
6. y = 3
7. y = 4 x
y
y
x
x
2
9. y = − x + 1
3
8. y = 2x − 4
y
y
x
x
Modeling a Real-Life situation.
_________________
Linear function
-A __________________ is a linear function that is used to model
a real-life situation. In a linear model, ___ is the
_____________________ and ____ is the __________________.
Example: The number of trout in a lake was estimated to be 44.5
thousand in 1995. During the next 10 years, the trout population is
expected to increase by about 3.2 thousand per year.
a. Write an equation to model the trout population in any year
between 1995 and 2005. Let t be the number of years since 1995.
_________________________
b. Predict the trout population in 2002.
t = ___ ( ____ years since 1995)
___________________
___________________
_________________
-The population of trout in 2002 will be about 66.9 thousand.
Example: A telephone company charges $0.60 for the first minute of a
collect call and then charges $0.15 for each additional minute. Write an
equation for the cost of a collect call and then determine the cost of a
23 minute call.
Total = Rate per
cost
add’l min
•
Time
(in min)
+
Cost for
1st min
C = ___________________
C = ___________________
C = ___________________
C = _________
-The cost for a 23 mintute call is _______