2. 1.1 Tables and Graphs of Linear Equations
Objectives: Represent a real-world linear relationship in a table, graph, or equation.
Identify linear equations and linear relationships
between variables in a table.
Standard: Q Represent functional relationships in
tables, charts, and graphs.

3. A (2, 4) B (-3, 5) C (0, 1) D (-2, 0) E (4, -5) F (-2, -1)
I. Plot the following ordered pairs on a coordinate graph. Label the four quadrants. *
A (2, 4)
B (-3, 5)
C (0, 1)
D (-2, 0)
E (4, -5)
F (-2, -1)

4. II. How do you know whether an equation is linear?
There needs to be a constant difference between consecutive x-values and a constant difference between consecutive y-values.
Can always be written in slope intercept form y =mx + b.
The variable X can never be raised to a power i.e. y = x2
There cannot be a variable in the denominator.

5. II. State whether each equation is linear.
y = -3x
YES
y = ½ x-3
YES
y = x2 + 1 NO
y = 1/x NO
y = 5 – 4x
YES
y = -4/x NO

6. III. Graph a linear equation
III. Graph a linear equation. y = mx + b, m is the slope and b is the y intercept (0, b).*
plot the y-intercept, (0, b).
beginning at the y-intercept use the slope (rise/run) to find a second point.
y = 3x + 2
y = 2x
b = (0,2)
m = 3
b = (0,0)
m = 2

7. III. Graph a linear equation
III. Graph a linear equation. y = mx + b, m is the slope and b is the y intercept (0, b).*
2y = 4x y + 4 = x - 3
y = x - 7
y = 2x + 4
m = 2
b = (0, 4)
m = 1
b = (0, -7)

8. IV. Determine whether each table represents a linear relationship between x and y. If the relationship is linear, write the next ordered pair that would appear in the table.
(5, -5) X Y 1 3 2 -1 4 -3
Y = -2x + 5

9. IV. Determine whether each table represents a linear relationship between x and y. If the relationship is linear, write the next ordered pair that would appear in the table. X Y -4 -7 -2 -1 2 4 5 6 8
(8, 11)
Y = 3/2x - 1

10. V. Word Problems
Ex. 1 An attorney charges a fixed fee of $250 for an initial meeting
and $150 per hour for all hours worked after that.
A. Make a table of the total charge for 1, 2, 3, and 4 hours worked.

11. C. Write a linear equation to model this situation.
B. Graph the points
represented by your
table and connect them.
C. Write a linear equation to model this situation. .

12. D. Find the charge for 25 hours of work.

13. Ex. 2 A water tank already contains 55 gallons of water when Dan begins to fill it. Water flows into the tank at a rate of 9 gallons per minute.
A. Make a table for the volume of water in the tank after 1, 2, 3, and 4 minutes.
V. Word Problems
time x 1 2 3 4
gallons y 64 73 82 91

14. Graph the points represented by your table and connect them.*
V = 9T Volume (V) Time (T)
D. Find the volume of water in the tank 20 minutes after Dan begins filling the tank.
V = 9 (20) V = 235

16. Integrated Algebra II- Section 1.1 Level A
Homework
Integrated Algebra II- Section 1.1 Level A
Academic Algebra II- Section 1.1 Level B