x y 1 st quadrant2 nd quadrant 3 rd quadrant4 th quadrant 13.1 – the rectangular coordinate system...
TRANSCRIPT
x
y
1st Quadrant2nd Quadrant
3rd Quadrant 4th Quadrant
13.1 – The Rectangular Coordinate System
origin
x-axis
y-axis
Coordinates of points: ,x y
Each point in the rectangular coordinate system has a unique set of coordinates.
The x coordinate is always first and the y coordinate is always second.
2,3
4, 1 3,0
13.1 – The Rectangular Coordinate System
x
y
1st Quadrant2nd Quadrant
3rd Quadrant 4th Quadrant
,x y ,x y
,x y ,x y
13.1 – The Rectangular Coordinate System
X
Y
AB
C
D
EF
GH
IJ
KM
A
D
B C
E F
G
H
I
J
K
M
L
4,3 2,2 4,4
2, 3 0,0 3,0
0,4
2,3
4,0
2,0
4, 2
0, 2
3, 3
L
1st 1st
2nd
2nd
3rd
4th
4th
x-axis
x-axis
x-axis
y-axis
y-axis
origin
0,4
Calculating Ordered Pairs and Graphing Linear Equations
13.2 – Graphing Linear Equations
2 8x y
x y
0
3
-4
2,3
4,6
4
2
6
0 2 8y
2 8y
4y
32 8x
6 8x
2x
24 8y
2 12y
6y
0,4
Calculating Ordered Pairs and Graphing Linear Equations
2 8x y
2,3
4,6
13.2 – Graphing Linear Equations
3,6
Calculating Ordered Pairs
2y x
x y
-3
0
10
0,0
5,10
6
0
5
32y
6y
0 2x
0 x
10 2x
5 x
13.2 – Graphing Linear Equations
Calculating Ordered Pairs and Graphing Linear Equations
2y x
3,6
0,0
5,10
13.2 – Graphing Linear Equations
9,2
Calculating Ordered Pairs
11
3y x
x y
9
0
1
0, 1
6,1
2
1
6 0
11
3y
11
13x 9
11
3y
3 1y
2y
1y
12
3x
6 x
13.2 – Graphing Linear Equations
Calculating Ordered Pairs and Graphing Linear Equations
11
3y x
9,2
0, 1
6,1
13.2 – Graphing Linear Equations
Identifying Intercepts
X
Y
X
Y
0,3
2,0 4,0
0, 2
X-intercept
Y-intercept
Y-intercept
X-intercept
13.3 – Intercepts
X
Y
X
Y
Identifying Intercepts
0,1
3,0 2,0
0,1
X-interceptX-intercept
Y-interceptY-intercept
13.3 – Intercepts
X
Y
X
Y
Identifying Intercepts
5,0
0, 4
0,0
X-intercept
X-intercept
Y-intercept
Y-intercept
13.3 – Intercepts
Calculating Intercepts
2 4x y
To find the x-intercepts, set y = 0 and solve for x
To find the y-intercepts, set x = 0 and solve for y
x-intercept: y = 0
2 0 4x
2x
y-intercept: x = 0
2 0 4y 4y
2,0 0, 4
2 4x
13.3 – Intercepts
Calculating Intercepts
To find the x-intercepts, set y = 0 and solve for x
To find the y-intercepts, set x = 0 and solve for y
2 3 6 0x y
x-intercept: y = 0
3x
y-intercept: x = 0
2y
3,0 0,2
2 3 0 6 0x 2 0 3 6 0y
2 6 0x 2 6x
3 6 0y
3 6y
13.3 – Intercepts
X
Y
Graphing Vertical and Horizontal Lines
3x
x y
23
1
5
3
3
13.3 – Intercepts
X
Y
Graphing Vertical and Horizontal Lines
4x
x y
54
0
3
4
4
13.3 – Intercepts
X
Y
Graphing Vertical and Horizontal Lines
1y
x y
14
1
1
1
3
13.3 – Intercepts
X
Y
Graphing Vertical and Horizontal Lines
3y
x y
35
3
3
1
1
13.3 – Intercepts