1. graph linear functions. 2. write equations in standard form.

[Pages:15]Objectives

The student will be able to:

1. graph linear functions. 2. write equations in standard form.

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.

1) Review: Solve for y

1. Draw "the river"

2. Subtract 2x from both sides

2x + y = 4 - 2x - 2x

y = -2x + 4

2) Solve for y: 4x + 2y = -6

1. Subtract 4x

- 4x

- 4x

2. Simplify

2y = -4x - 6

3. Divide both sides by 2

2 2

4. Simplify

y = -2x - 3

3) Solve for y: x - 3y = 6

1. Subtract x

-x

-x

2. Simplify

-3y = -x + 6

3. Divide both sides by -3 4. Simplify

-3 -3

y x 6

or

3 y x2

3

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

x f(x)

ordered pair

-2 2(-2) + 4 = 0 (-2, 0)

-1 2(-1) + 4 = 2 (-1, 2)

0 2(0) + 4 = 4 1 2(1) + 4 = 6 2 2(2) + 4 = 8

(0, 4) (1, 6) (2, 8)

5) Given the domain {-2, -1, 0, 1, 2}, graph 3x + y = 6

1. Solve for y:

Subtract 3x

2. Make a table

x -3x + 6 -2 -3(-2) + 6 = 12 -1 -3(-1) + 6 = 9 0 -3(0) + 6 = 6

-3(1) + 6 = 3

1 -3(2) + 6 = 0 2

3x + y = 6 - 3x - 3x

y = -3x + 6

ordered pair

(-2, 12) (-1, 9) (0, 6) (1, 3) (2, 0)

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.

Bonus questions! What is the x-intercept?

(2, 0) What is the y-intercept?

(0, 6) Does the line increase or decrease?

Decrease

Which is the graph of y = x ? 4?

1. . 2. . 3. . 4. .

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