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Warm-up y = 2x + 2 Make a T-Table and graph the equation x y - 2 - 1 0 2 1 6 4 2 0 - 2

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Warm-up. Make a T-Table and graph the equation. y = 2x + 2. x. y. -2. -2. 0. -1. 2. 0. 4. 1. 6. 2. y. 5. x. -5. -5. 5. Finding X and Y intercepts. Where the line crosses the y-axis. y -intercept = 3. (0, 3). What is an intercept?. (4, 0). x -intercept = 4. - PowerPoint PPT Presentation

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Warm-upy = 2x + 2 Make a T-Table and graph the equation

x y-2

-1

0

2

1

6

4

2

0

-2

Finding X and Y intercepts

What is an intercept?

Where the line crosses the x-axis.

y

x

5

5

-5-5

(0, 3)y-intercept = 3

(4, 0)x-intercept = 4

Where the line crosses the y-axis.

y

x

5

5

-5-5

(0, 3)

y-intercept = 3 (3, 0)

x-intercept = 3

In your notes:

1.)

y

x

5

5

-5-5

(0, -4)

y-intercept = -4 (-1, 0)

x-intercept = -1

In your notes:

2.)

X and Y Intercepts

Plug in 0 for y – this is the x-intercept

Plug in 0 for x – this is the y-intercept

Finding X intercepts

y

x

5

5

-5

-5

(5, 0)

x + y = 5x + (0) = 5

x = 5

x = 5

Finding X intercepts

y

x

5

5

-5

-5

(7, 0)

x - 3y = 7x - 3(0) = 7

x = 7

x = 7

Finding X intercepts

y

x

5

5

-5

-5

(6, 0)

6x + 12y = 366x + 12(0) = 36

6x = 36

x = 6

6 6

Finding Y intercepts

y

x

5

5

-5

-5

(0, -4)

y = -3x - 4y = -3(0) - 4

y = -4

y = -4

Finding Y intercepts

y

x

5

5

-5

-5

(0, 3)

-3x + 6y = 18-3(0) + 6y = 18

6y = 18

y = 3

6 6

Finding Y intercepts

y

x

5

5

-5

-5

(0, 6)y = ½ x + 6

y = ½ (0) + 6

y = 6

y = 6

Finding X and Y intercepts

y

x

5

5

-5

-5

(0, 2)

(3, 0)

2x + 3y = 62x + 3(0) = 6

2x = 6

2 2

x = 3

2x + 3y = 6

2(0) + 3y = 6

3y = 6

3 3

y = 2

Finding X and Y intercepts

y

x

5

5

-5

-5

(0, 2)

(4, 0)

4x + 8y = 164x + 8(0) = 16

4x = 16

4 4

x = 4

4x + 8y = 16

4(0) + 8y = 16

8y = 16

8 8

y = 2

Finding X and Y intercepts

y

x

5

5

-5

-5

(0, -2)

(4, 0)

x - 2y = 4x - 2(0) = 4

x = 4

x = 4

x - 2y = 4

(0) - 2y = 4

-2y = 4

-2 -2

y = -2

Finding x and y intercepts

Find the x-intercept of the line

X-intercept MEANS y = 0

- 3x + 2y = 9

Find the y-intercept of the line

y-intercept MEANS x = 0

Finding x and y intercepts

- 3x + 2y = 9

Cover up method

2x + 4y = 8 2x + 4y = 8

Solve for x and y.

Hint: Cover up the 4y first.

2x = 8

x = 4

Hint: Cover up the 2x this

time.

4y = 8

y = 2

y

x

5

5

-5-5

Use the Cover Up Method

- 6x – 4y = 2

-6x = 2

x = -1/3

-6x – 4y = 2

-4y = 2

y= -1/2

(-1/3, -1/2)

y

x

5

5

-5-5