STANDARD FORM OF A LINEAR EQUATION

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STANDARD FORM OF A LINEAR EQUATION Day 1
SECTION 5.5a
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slope intercept
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This is still a ________ equation, but it is
written in a different form.
linear
A linear equation in the form _______________ is
in ______________, where A, B, and C are
integers.
standard form
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A linear equation in the form _______________ is
in ______________, where A, B, and C are
integers.
standard form
Remember the set of integers is
.
NO FRACTIONS!!! NO DECIMALS !!!
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• Example 1
• Jackie is in charge of selling tickets for the
  school jazz concert at 2.00 for students and
  4.00 for adults. She hopes that the total
  ticket sales will be about 600 in order to cover
  expenses and make a modest profit.
• Write a linear equation in standard form to model
  this situation.

student tickets
2.00
adult tickets
4.00

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• A donation of 300 was make to the Classical
  Music Club for the purpose of building their
  collection of CDs. At the local music store,
  some classical CDs cost 10 and other cost 15.
  The club wants to know how many of each type can
  buy with the 300.
• (Do not consider sales tax.)
• Write an equation in standard form to model this
  situation.

classical CDs
10.00
other CDs
15.00

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Example 2 Tell whether the equations below are
in standard form.
A
B
C
D
E
F
NO
x-term y-term constant No fractions, no
decimals !
YES
NO
NO
FRACTIONS
YES
NO
DECIMALS
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If an equation is not written in standard form,
we can rewrite the equation so that it is in
standard form.
Example 3 Write each linear equation in
standard form.
A.
B.
9
D.
C.
10
x
y
slope
We can find the ___ ___ intercepts and the
________ when the equation is written in standard
form.
y-intercept is at
x-intercept is at
11
y-intercept is at
x-intercept is at
x
We know that y 0 at the ____ intercept, so we
can plug in 0 for ___ to find the _____ intercept.
y
x
y
We know that x 0 at the ____ intercept, so we
can plug in 0 for ___ to find the _____ intercept.
y
x
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Example 4 Find the x y intercepts of the
following equations.
A.
Plug in 0 for x
Plug in 0 for y
x- intercept
y-intercept
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Example 4 Find the x y intercepts of the
following equations.
B.
Plug in 0 for x
Plug in 0 for y
x- intercept
y-intercept
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Example 4 Find the x y intercepts of the
following equations.
C.
Plug in 0 for x
Plug in 0 for y
x- intercept
y-intercept
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x- intercept
y-intercept
Write
in slope-intercept form to find the slope.
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x- intercept
y-intercept
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Slope
y - intercept
x - intercept
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To find the x-intercept, cross out the y-term
Slope
y - intercept
x - intercept
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To find the y-intercept, cross out the x-term
Slope
y - intercept
x - intercept
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Example 5 Find the slope and x y intercepts
of the following equations.
A B C
A.
Slope x- intercept
y-intercept
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Example 5 Find the slope and x y intercepts
of the following equations.
A B C
A.
Slope x- intercept
y-intercept
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Example 5 Find the slope and x y intercepts
of the following equations.
A B C
A.
Slope x- intercept
y-intercept
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Example 5 Find the slope and x y intercepts
of the following equations.
A B C
A.
Slope x- intercept
y-intercept
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Example 5 Find the slope and x y intercepts
of the following equations.
A B C
B.
Slope x- intercept
y-intercept
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Example 5 Find the slope and x y intercepts
of the following equations.
A B C
B.
Slope x- intercept
y-intercept
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Example 5 Find the slope and x y intercepts
of the following equations.
A B C
B.
Slope x- intercept
y-intercept
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Example 5 Find the slope and x y intercepts
of the following equations.
A B C
B.
Slope x- intercept
y-intercept
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Example 5 Find the slope and x y intercepts
of the following equations.
A B C
C.
Slope x- intercept
y-intercept
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Example 5 Find the slope and x y intercepts
of the following equations.
A B C
C.
Slope x- intercept
y-intercept
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Example 5 Find the slope and x y intercepts
of the following equations.
A B C
C.
Slope x- intercept
y-intercept
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Example 5 Find the slope and x y intercepts
of the following equations.
A B C
C.
Slope x- intercept
y-intercept
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If an equation is written in standard form, you
can use the _______________ to graph the equation
quickly.
x y intercepts
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Example 6 Graph the following equations.
A.
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Example 6 Graph the following equations.
A.
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Example 6 Graph the following equations.
A.
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Example 6 Graph the following equations.
B.
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Example 6 Graph the following equations.
B.
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Example 6 Graph the following equations.
B.
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Example 6 Graph the following equations.
C.
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Example 6 Graph the following equations.
C.
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Example 6 Graph the following equations.
C.
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Example 6 Graph the following equations.
D.
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Example 6 Graph the following equations.
D.
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Example 6 Graph the following equations.
D.