4-5B Write an Equation in Standard Form and in Slope-Intercept Form

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4-5B Write an Equation in Standard Form and in
Slope-Intercept Form
Algebra 1 Glencoe McGraw-Hill Linda
Stamper
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Remember slope-intercept form
and point-slope form
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In this lesson you will write the equation of a
line given in point-slope form into standard form.
Do you remember the standard form for a linear
equation?
Ax By C
and the constant term is on the right side.
In standard form, the variable terms are on the
left side of the equal sign
The A is the coefficient of the x term while the
B is the coefficient of the y term! C represents
a constant.
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In standard form A gt 0, and A and B are not both
zero and A, B, and C are integers with a greatest
common factor of 1.
Explain why the following equations are NOT
considered to be in standard form.
x and y need to be on the left side of equal sign.
x term comes before the y term.
A needs to be greater than or equal to one.
A is not an integer.
GCF of A, B, and C is not 1.
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Write in standard form
with integer coefficients.
What do the instructions integer coefficients
mean?
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REAL NUMBERS
Integers Whole numbers and their opposites
(this means positive and negative whole numbers).
ex ? 4, 3, 2, 1, 0, 1 ?, 2 ?, 3 ?, 4
Whole Numbers Natural Numbers and zero. ex
0,1,2,3
Natural or Counting Numbers ex 1,2,3,4,
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Write in standard form
with integer coefficients.
What do the instructions integer coefficients
mean? Positive or negative whole numbers in
front of the variables.
NO FRACTIONS or DECIMALS as COEFFICIENTS!
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Write in standard form
with integer coefficients.
How can you get an integer coefficient for x?
Could you use the reciprocal of
Multiply each side of the equation by 4 to clear
the denominator.
No, using the reciprocal just gives the fraction
to the other variable!
Distribute.
Subtract 20 and simplify.
Add 5x to both sides.
Copy in your spiral notebook!
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Write in standard form
with integer coefficients.
Multiply each side of the equation by 5 to clear
the denominator.
Distribute.
Add 15 and simplify.
Subtract 3x to both sides.
Undo the negative value for A.
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Write in standard form with integer coefficients.
Example 1
Example 2
Example 4
Example 3
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Write in standard form with integer coefficients.
Example 1
Example 2
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Write in standard form with integer coefficients.
Example 3
Example 4
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Next in this lesson you will write the equation
of a line given in point-slope form into
slope-intercept form.
slope-intercept form
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Write in slope-intercept
form.
Write the equation.
Distribute the slope.
Add 2 to each side and simplify.
Copy in your spiral notebook!
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Write in slope-intercept
form.
Write the equation.
Undo the fraction.
Simplify.
Another method You could undo the fraction!
Copy in your spiral notebook!
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Write in slope-intercept form.
Example 5
Example 7
Example 6
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Write in slope-intercept form.
Example 8
Example 10
Example 9
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Summary Equations of Lines
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Homework
4-A12 Pages 223-224 2641,4854.