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Warm-up

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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

Where the line crosses the x-axis.

y

5

x

-5

-5

5

In your notes:

1.)

(0, 3)

y-intercept = 3

(3, 0)

x-intercept = 3

y

5

x

-5

-5

5

In your notes:

2.)

y-intercept = -4

(-1, 0)

x-intercept = -1

(0, -4)

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

y

5

x

-5

-5

5

x + y = 5

x + (0) = 5

x = 5

x = 5

(5, 0)

y

5

x

-5

-5

5

x - 3y = 7

x - 3(0) = 7

x = 7

x = 7

(7, 0)

y

5

x

-5

-5

5

6x + 12y = 36

6x + 12(0) = 36

6x = 36

6

6

(6, 0)

x = 6

y

5

x

-5

-5

5

y = -3x - 4

y = -3(0) - 4

y = -4

y = -4

(0, -4)

y

5

x

-5

-5

5

-3x + 6y = 18

-3(0) + 6y = 18

6y = 18

(0, 3)

6

6

y = 3

y

5

x

-5

-5

5

(0, 6)

y = ½ x + 6

y = ½ (0) + 6

y = 6

y = 6

y

5

x

-5

-5

5

2x + 3y = 6

2x + 3(0) = 6

2x = 6

2

2

(0, 2)

x = 3

(3, 0)

2x + 3y = 6

2(0) + 3y = 6

3y = 6

3

3

y = 2

y

5

x

-5

-5

5

4x + 8y = 16

4x + 8(0) = 16

4x = 16

4

4

(0, 2)

x = 4

(4, 0)

4x + 8y = 16

4(0) + 8y = 16

8y = 16

8

8

y = 2

y

5

x

-5

-5

5

x - 2y = 4

x - 2(0) = 4

x = 4

x = 4

(4, 0)

x - 2y = 4

(0) - 2y = 4

(0, -2)

-2y = 4

-2

-2

y = -2

Finding x and y intercepts

Find the x-intercept of the line

- 3x + 2y = 9

X-intercept MEANSy = 0

Finding x and y intercepts

Find the y-intercept of the line

- 3x + 2y = 9

y-intercept MEANSx = 0

y

5

x

-5

-5

5

Hint: Cover up the 4y first.

Hint: Cover up the 2x this time.

Solve for x andy.

2x + 4y = 8

2x + 4y = 8

2x = 8

4y = 8

x = 4

y = 2

y

5

x

-5

-5

5

- 6x – 4y = 2

-6x = 2

x = -1/3

- 6x – 4y = 2
- -4y = 2
- y= -1/2
- (-1/3, -1/2)