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Course 3
3-2 Graphing on a Coordinate Plane3-2 Graphing on a Coordinate Plane
Course 3
Warm UpWarm Up
Problem of the DayProblem of the Day
Lesson PresentationLesson Presentation
Course 3
3-2 Graphing on a Coordinate Plane
Warm UpFind the values for y by substituting 1, 3, 5, and 7 for x.
1, 3, 7, 115, 13, 21, 290, 10, 20, 303. y = 5x 5
2. y = 4x + 11. y = 2x 3
Course 3
3-2 Graphing on a Coordinate Plane
Problem of the Day
What day is four days after the day before Saturday?
Monday
Course 3
3-2 Graphing on a Coordinate Plane
Learn to graph points and lines on the coordinate plane.
Course 3
3-2 Graphing on a Coordinate Plane
Vocabularycoordinate planex-axisy-axisquadrantx-coordinatey-coordinateorigingraph of an equation
Course 3
3-2 Graphing on a Coordinate Plane
The coordinate plane is formed by two number lines, the x-axis and the y-axis. They intersect at right angles and divide the plane into four quadrants.
The x-coordinate is the first number in an ordered pair. The y-coordinate is the second number in an ordered pair.
Course 3
3-2 Graphing on a Coordinate Plane
To plot an ordered pair, begin at the origin, the point (0, 0). It is the intersection of the x-axis and the y-axis.
The x-coordinate tells how many units to move left or right; the y-coordinate tells how many units to move up or down.
Course 3
3-2 Graphing on a Coordinate Plane
(2, 3)
The sign of a number indicates which direction to move. Positive: up or right Negative: down or left
Helpful Hint
x
y
origin
(2, 3)move right 2 units
move up 3 units
(0, 0)
Quadrant IQuadrant II
Quadrant III Quadrant IV
Course 3
3-2 Graphing on a Coordinate Plane
Additional Example 1: Finding the Coordinates and Quadrants of Points on a Plane
Give the coordinates and quadrants of each point.
Point R is ________________(1, 3); Quadrant l
1 unit right, 3 units up
Point S is _________________(0, –3); no quadrant
0 units right, 3 units down
Point T is _________________(–2, 2); Quadrant ll
2 units left, 2 units up
Point U is ________________(–3, 0); no quadrant
3 units left, 0 units up
x
y
R
S
T
U
Course 3
3-2 Graphing on a Coordinate Plane
Check It Out: Example 1
Point J is __________________(0, 2); no quadrant
0 units right, 2 units up
Point M is _________________(2, 0); no quadrant
2 units right, 0 units up
Point K is __________________(–1, 4); Quadrant ll
1 unit left, 4 units up
Point P is _________________(–3, –2); Quadrant lll
3 units left, 2 units down
x
y
J
P
K
M
Give the coordinates and quadrants of each point.
Course 3
3-2 Graphing on a Coordinate Plane
Additional Example 2: Graphing Points on a Coordinate Plane
Graph each point on the coordinate plane.
A. A(3, 4)right 3, up 4
B. B(4, 0)right 4, up 0
C. C(–4, 4)left 4, up 4
D. D(–1, –3)left 1, down 3
x
y
A
B
D
C
Course 3
3-2 Graphing on a Coordinate Plane
Check It Out: Example 2
Graph each point on the coordinate plane.
A. A(2, 4)right 2, up 4
B. B(2, 0)right 2, up 0
C. C(–2, 4)left 2, up 4
D. D(–1, –1)left 1, down 1
x
y
A
BD
C
Course 3
3-2 Graphing on a Coordinate Plane
The graph of an equation is the set of all ordered pairs that are solutions of the equation.
Course 3
3-2 Graphing on a Coordinate Plane
Additional Example 3: Graphing an Equation
x
y
x 2x – 3 y (x, y) 0
1
2
3
2(0) – 3 –3 (0, –3)
2(1) – 3 –1 (1, –1)
2(2) – 3 1 (2, 1)
2(3) – 3 3 (3, 3)
Complete the table y = 2x - 3. Graph the ordered pairs on a coordinate plane and draw a line through them.
Course 3
3-2 Graphing on a Coordinate Plane
Check It Out: Example 3
x
y
x 3x – 4 y (x, y) 0
1
2
3
3(0) – 4 –4 (0, –4)
3(1) – 4 –1 (1, –1)
3(2) – 4 2 (2, 2)
3(3) – 4 5 (3, 5)
Complete the table y = 3x - 4. Graph the ordered pairs on a coordinate plane and draw a line through them.
Course 3
3-2 Graphing on a Coordinate Plane
Lesson Quiz: Part 1
Give the coordinates and quadrant of each point.
1. A
2. B
Graph each point on the given coordinate plane. Label points C, D.
3. C (5, –2)
4. D (0, 4)
(3, 4); Quadrant ll
(2, 0); none
x
y
A
B D
C
Course 3
3-2 Graphing on a Coordinate Plane
Lesson Quiz: Part 25. Complete the table for y = 4x – 3. Graph
each ordered pair on the coordinate plane.
x
y
(0, 3)
(1, 1)
(2, 5)
x 4x – 3 y (x, y)
0
1
2
4(0) 3
4(1) 3
4(2) 3
3
1
5
(0, 3)
(1, 1)
(2, 5)
