1.9 graphing data on the coordinate plane two number lines that intersect at right angles form a...
TRANSCRIPT
1.9 Graphing Data on the Coordinate Plane• Two number lines that intersect at right angles
form a coordinate plane.
• X- axis – the horizontal axis
• Y- axis – the vertical axis
• Origin – where the axes intersect (0 , 0)
• Quadrants – the four sections of the coordinate plane.
Coordinate Plane
y - axis
x - axis
Origin (0 , 0)
( + , +)( - , +)
( - , -) ( + , -)
Graphing Points
• An ordered pair of numbers identifies the location of a point.
• These numbers are the coordinates of the point on the graph.
(x-coordinate, y-coordinate)
(-2 , 4)
Identifying Coordinates
Z T
W
O
Q
VP
Identifying CoordinatesName the coordinates of each point on the graph.
• Point O• Point P• Point Q• Point T• Point V• Point W• Point Z
• (0 , 0) - origin• (-4, 1)• (0 , 2)• (3 , -3)• (-1 , 1)• (4 , 1)• (-2 , -3)
Graphing Points• Graph the point A (3 , -4) on the coordinate plane.
A
Identifying Quadrants• In which quadrant or on which axis would you
find each point.
a. (-1 , 5)
Since the x-coordinate is negative, and the y-coordinate is positive, the point is in Quadrant II.
b. (0 , 3)
Since the x-coordinate is 0, the point is on the y-axis.
1.9 Graphing Data on the Coordinate Plane (Cont.)9/29/10
• A scatter plot – a graph that relates two groups of data.– Most scatter plots are in the first quadrant of a coordinate
plane, because the data are usually positive numbers.
Scatter Plot
Media in the United States
050
100150
1900
1950
2000
2050
Year
Num
ber
of
Household
s w
ith
Tele
vis
ion
Series1
YearNumber of Households With Television
(millions)
1950 4
1960 46
1970 59
1980 76
1990 92
2000 101
Scatter Plots• Positive correlation – in general, both sets of data
increase together.• Negative correlation – in general, one set of data
decreases as the other set increases.• No correlation – sometimes data sets are not related.• Trend line – shows a correlation more clearly
Positive Correlation
Negative
Correlation
No Correlation