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Graphing Using a Table of
Values
MATH 018
Combined Algebra
S. Rook
Overview
• Section 3.2 in the textbook
– Graphing with a table of values
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Graphing with a Table of
Values
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Linear Equations
• Linear equation: an equation in which ALL
variables are raised to the first power
– The graph of a linear equation is a line
• Two typical representations for a linear equation:
• Standard form: a linear equation of the form
Ax + By = C where A, B, and C are constants
– All variables on one side and the constants on the
other
– No fractions
• Slope-intercept form: a linear equation of the
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form y = mx + b (more on this later)
Graphing Linear Equations Using a
Table of Values
• By definition, a line has infinitely many
points
• To graph a linear equation, we only need a
subset (sample) of those points
• We have already seen last lesson how to
obtain these points by using partial
coordinates
– i.e. Pick values for x and solve for y or vice
versa
– These coordinates comprise the table of values 5
Graphing Linear Equations Using a
Table of Values (Example)
Ex 1: Graph each linear equation by using
a table of values:
a)
b)
c)
d)
-4x + 8y = -8
y = -x + 3
x = -1
y=3
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Summary
• After studying these slides, you should
know how to do the following:
– Graph a linear equation using a table of
values
• Additional Practice
– See the list of suggested problems for 3.2
• Next lesson
– Graphing by Intercepts (Section 3.3)
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