Graphing on the Coordinate Plane
Independent and Dependent Variables in Tables and Graphs
Writing equations from tables
Representing algebraic relationships in tables and graphs
100
This is formed by two number lines that intersect at right angles.
What is a coordinate plane?
100
The quantity that depends on the other quantity.
What is the dependent variable?
100
Write an equation that expresses y in terms of x:
x: 2 4 6 8 10
y: 7 9 11 13 15
What is....y = x + 5
100
An ordered pair (x,y) that makes an equation like
y = x +1 true is called.....
What is a solution?
200
The point where the axes intersect.
What is the origin?
200
The dependent and independent variable based on this graph.
Dependent: Cost in dollars
Independent: Minutes used per month
200
Write an equation that expresses y in terms of x:
x: 1 2 3 4 5
y: 3 6 9 12 15
What is y = 3x?
200
Graph the equation:
y = x + 3
(see graph paper)
300
Identify the coordinates of each point.
What is:
A: (2,7)
B: (-4, 6)
D: (-3,-3)
E: (0,2)
F: (7,-5)
300
For every problem correct on the math test, the teacher will give the student a skittle.
Independent variable?
Dependent variable?
Independent variable: test questions answered correctly
Dependent variable: number of skittles
300
How can you use an equation to show a relationship between two variables?
What is....use a table to find the relationship between the two variables. Use that relationship to write an equation.
300
WINNER WINNER CHICKEN DINNER!
Your team just earned......
DOUBLE POINTS!
600!
400
Describe Sam's location relative to the theatre. Each unit represents one kilometer.
A: Sam
B: Restaurant
C: Theatre
What is 2 km east and 12 km north of the theatre?
400
How can you identify the dependent and independent variables in a real-world situation modeled by a graph?
What is...
the dependent variable is the quantity that depends on the other variable. On a graph, the independent variable is usually shown on the horizontal axis and the dependent variable on the vertical axis.
400
Cooper bought 2 puzzles for $5.00 and 3 puzzles for $7.50. Write and solve an equation to find the cost of 15 puzzles.
p is number of puzzles
c is cost
2.5p = c
What is $37.50?
400
Graph y = 5x
Make a table to show the relationship
x 2 4 6 8
y
(see graphs)
500
Sam wants to meet his friend at an ice cream shop. The ice cream shop is 7 km west of the theatre. What are the coordinates of the ice cream shop?
C: theatre
What is (-3,-4)?
500
The table below shows a relationship between two variables, x and y. Describe a possible situation the table could represent. Describe the independent and the dependent variables in this situation.
Answers vary
500
Garrett is playing a video game. He earns the same number of points for each unicorn he captures. He earned 750 points for capturing 5 unicorns and 1,350 points for capturing 9 unicorns. Write an equation to represent the relationship. Then solve the equation to find how many points Garrett will earn if he captures 27 unicorns.
p = 150u
p = number of points
u = number of unicorns
4,050 points for capturing 27 unicorns
500
Draw an equilateral triangle and a square, each with a side length of 6 inches. Find the perimeter of each. Now, come up with a formula for the perimeter of an equilateral triangle and a square.
What is:
equilateral triangle: p = 3x
square = p = 4x
p is perimeter, x is the side length