238 CHAPTER 3 Linear Equations and Inequalities in Two Variables; Functions
3.1
line graph
linear equation in two
variables
ordered pair
table of values
x-axis
y-axis
origin
rectangular (Cartesian)
coordinate system
quadrant
plane
coordinates
plot
scatter diagram
3.2
graph, graphing
y-intercept
x-intercept
horizontal line
vertical line
3.3
rise
run
slope
subscript notation
parallel lines
perpendicular lines
3.5
linear inequality in two
variables
boundary line
3.6
components
relation
domain
range
function
function notation
KEY TERMS
1 a,b 2 an ordered pair m slope x-sub-one,
y-sub-one
1 x 1 ,y 12 ƒ 1 x 2 functionƒofx
NEW SYMBOLS
SUMMARY
CHAPTER 3
1.Anordered pairis a pair of
numbers written
A.in numerical order between
brackets
B.between parentheses or brackets
C.between parentheses in which
order is important
D.between parentheses in which
order does not matter.
2.Aninterceptis
A.the point where the x-axis and
y-axis intersect
B.a pair of numbers written in
parentheses in which order
matters
C.one of the four regions
determined by a rectangular
coordinate system
D.the point where a graph intersects
thex-axis or the y-axis.
3.Theslopeof a line is
A.the measure of the run over the
rise of the line
B.the distance between two points
on the line
C.the ratio of the change in yto the
change in xalong the line
D.the horizontal change compared
with the vertical change of two
points on the line.
4.Two lines in a plane are parallelif
A.they represent the same line
B.they never intersect
C.they intersect at a 90° angle
D.one has a positive slope and one
has a negative slope.
5.Two lines in a plane are
perpendicularif
A.they represent the same line
B.they never intersect
C.they intersect at a 90° angle
D.one has a positive slope and one
has a negative slope.
6.Afunctionis
A.any set of ordered pairs
B.a set of ordered pairs in which
each first component
corresponds to exactly one
second component
C.two sets of ordered pairs that are
related
D.a graph of ordered pairs.
TEST YOUR WORD POWER
See how well you have learned the vocabulary in this chapter.
ANSWERS
1.C;Examples: 2.D;Example:The graph of the equation has x-intercept and y-intercept
3.C;Example:The line through and has slope 4.B;Example:SeeFIGURE 27inSection 3.3.
5.C;Example:SeeFIGURE 28inSection 3.3. 6.B;Example:The set of ordered pairs is a function, since
eachx-value corresponds to exactly one y-value.
51 0, 2 2 , 1 2, 4 2 , 1 3, 6 26
4 - 6
5 - 3 =
- 2
1 3, 6 2 1 5, 4 2 2 =-1.
1 0, 3 2 , 1 - 3, 8 2 , 1 4, 0 2 4 x- 3 y= 12 1 3, 0 2 1 0,- 42.
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