Graphing Linear Functions Grade 8 (Math).ppt

Topic: Graphing Linear Functions

1. Linear Function
and
Graph

2. Graphing Steps
1)Isolate the variable (solve for y).
2)Make a t-table. If the domain is
not given, pick your own values.
3)Plot the points on a graph.
4)Connect the points.

3. 1) Review: Solve for y
2x + y = 4
•Draw “the river”
•Subtract 2x from
both sides
- 2x - 2x
y = -2x + 4
2) Solve for y: 4x + 2y = -6
•Subtract 4x
•Simplify
•Divide both sides by 2
•Simplify
- 4x - 4x
2y = -4x - 6
2 2
y = -2x - 3

4. 3) Review: Make a t-table
If f(x) = 2x + 4, complete a table using
the domain {-2, -1, 0, 1, 2}.
2(-2) + 4 = 0(-2, 0)
2(-1) + 4 = 2(-1, 2)
2(0) + 4 = 4(0, 4)
2(1) + 4 = 6(1, 6)
2(2) + 4 = 8(2, 8)
xf(x)
-2
-1
0
1
2
ordered pair

5. 4) Given the domain {-2, -1, 0, 1, 2},
graph 3x + y = 6
-3(-2) + 6 = 12 (-2, 12)
-3(-1) + 6 = 9 (-1, 9)
-3(0) + 6 = 6 (0, 6)
-3(1) + 6 = 3 (1, 3)
-3(2) + 6 = 0 (2, 0)
x-3x + 6 ordered pair
1.Solve for y: 3x + y = 6
Subtract 3x - 3x - 3x
y = -3x + 6
2. Make a table
-2
-1
0
1
2

6. 5)Given the domain {-2, -1, 0, 1, 2},

graph 3x + y = 6
3.Plot the points
(-2,12), (-1,9), (0,6), (1,3),
(2,0)
4.Connect the points.

7. 1. .
2. .
3. .
4. .
Which is the graph of y = x – 4?

8. THANK YOU