Warm Up

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Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
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Warm Up Write an equation for each function. Use
your own variables. 1. The length of a wall is
4 ft more than three times the height. 2. The
number of trading cards is 3 less than the number
of buttons.
l 3h 4
c b 3
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Problem of the Day Steve saved 1.50 each week.
How many weeks did it take him to save enough to
buy a 45 skateboard?
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Sunshine State Standards
MA.6.A.3.6 Construct and analyze tables, graphs,
and equations to describe linear
functionsusingalgebraic notation. Also
MA.6.A.3.2
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Vocabulary
linear equation
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Additional Example 1 Finding Solutions of
Equations with Two Variables Use the given
x-values to write solutions of the equation y
4x 2 as ordered pairs. x 1, 2, 3, 4.
(x, y)?
(1, 6)?
(2, 10)?
(3, 14)?
(4, 18)?
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Check It Out Example 1 Use the given x-values
to write solutions of the equation y 5x 3 as
ordered pairs. x 2, 3, 4.
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Check if an ordered pair is a solution of an
equation by putting the x and y values into the
equation to see if they make it a true statement.
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Additional Example 2 Checking Solutions of
Equations with Two Variables Determine whether
the ordered pair is a solution to the given
equation.
(3, 21) y 7x
y 7x
?
So (3, 21) is a solution to y 7x.
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Check It Out Example 2A Determine whether the
ordered pair is a solution to the given equation.
(4, 20) y 5x
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Check It Out Example 2B Determine whether the
ordered pair is a solution to the given equation.
(2, 3) y x 1
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Check It Out Example 2C Determine whether the
ordered pair is a solution to the given equation.
(6, 4) y 2x - 7
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Check It Out Example 2D Determine whether the
ordered pair is a solution to the given equation.
(5, 1) y 3x - 12
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You can also graph the solutions of an equation
on a coordinate plane. When you graph the ordered
pairs of some functions, they form a straight
line. The equations that express these functions
are called linear equations.
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Additional Example 3 Reading Solutions on
Graphs Use the graph of the linear function to
find the value of y for the given value of x. x
4
4
2
-4 -2 0 2 4
-2
When x 4, y 2.
The ordered pair is (4, 2).
-4
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Check It Out Example 3A For each graph of a
linear function, find the values of y for the
values of x given below the graph.
x 2
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Check It Out Example 3B For each graph of a
linear function, find the values of y for the
values of x given below the graph.
x 0
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Check It Out Example 3C For each graph of a
linear function, find the values of y for the
values of x given below the graph.
x 4
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Check It Out Example 3D For each graph of a
linear function, find the values of y for the
values of x given below the graph.
x 1
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Check It Out Example 3E For each graph of a
linear function, find the values of y for the
values of x given below the graph.
x 4
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Check It Out Example 3F For each graph of a
linear function, find the values of y for the
values of x given below the graph.
x 7
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Additional Example 4 Graphing Linear
Functions Graph the function described by the
equation. y 3x 2
(0, 2)?
(1, 5)?
(2, 8)?
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Additional Example 4 Continued
2
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Check it out Example 4A Graph the function
described by the equation. y x 3
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Check it out Example 4A Continued
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Check it out Example 4B Graph the function
described by the equation. y 2x 5
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Check it out Example 4C Graph the function
described by the equation. y 3x 3
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Check it out Example 4D Graph the function
described by the equation. y 8 - x
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Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
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Lesson Quiz
1. Use the given x-values to write solutions as
ordered pairs to the equation y 10x 5 for x
0, 1, 2, and 3. 2. Determine whether (4, 2) is
a solution to the equation y 5x 6.
(0, 5), (1, 15), (2, 25), (3, 35?)
No, 2 ? 5(4) 6
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Lesson Quiz Cont.
3. Graph the function described by the equation
y 5 x.
2
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Lesson Quiz for Student Response Systems
1. Use the given x-values to identify solutions
as ordered pairs to the equation y 7x 4 for
x 1, 3, 5, and 7.
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Lesson Quiz for Student Response Systems
2. Identify the graph of the function described
by the equation y x 5. A. B.