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Algebra 2 Section 9.1 Coordinate Plane y-axis x-axis origin Graph the points on the coordinate plane. y A. (3,2) B. (-6,5) B C. (0,4) C F A D. (10,-2) x E. (-5,-5) F. (10,4) D E Give the coordinates of each of the labeled points. y E A. B. C. D. E. F. (-6,1)

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slide2

Algebra 2

Section 9.1

Coordinate Plane

y-axis

x-axis

origin

slide3

Graph the points on the coordinate plane.

y

A. (3,2)

B. (-6,5)

B

C. (0,4)

C

F

A

D. (10,-2)

x

E. (-5,-5)

F. (10,4)

D

E

slide4

Give the coordinates of each of the labeled points.

y

E

A.

B.

C.

D.

E.

F.

(-6,1)

(-10,-10)

(0,0)

(0,-6)

(1,10)

(8,3)

F

A

x

C

D

B.

slide5

Graph the equation.

- make a chart with x on the left, y on the right

- substitute –1,0,1 in for x and then solve for y

{-1,0,1} because that keeps the graph near the origin

1. y = 3x - 2

If x = -1

y = 3(-1) – 2

y = -3 – 2

y = -5

y

x

y

-1

0

1

-5

-2

If x = 0

y = 3(0) – 2

y = 0 – 2

y = -2

1

x

If x = 1

y = 3(1) – 2

y = 3 – 2

y = 1

slide6

Graph the equation.

- make a chart with x on the left, y on the right

- substitute –1,0,1 in for x and then solve for y

{-1,0,1} because that keeps the graph near the origin

2. y = -2x + 4

If x = -1

y = -2(-1) + 4

y = 2 + 4

y = 6

y

x

y

-1

0

1

6

4

If x = 0

y = -2(0) + 4

y = 0 + 4

y = 4

2

x

If x = 1

y = -2(1) + 4

y = -2 + 4

y = 2

slide7

Graph the equation.

- make a chart with x on the left, y on the right

3. y – x = 8

+x +x

y = x + 8

- substitute –1,0,1 in for x and then solve for y

{-1,0,1} because that keeps the graph near the origin

y

x

y

If x = -1

y = -1 + 8

y = 7

-1

0

1

7

8

If x = 0

y = 0 + 8

y = 8

9

x

If x = 1

y = 1 + 8

y = 9

slide8

Graph the equation.

- make a chart with x on the left, y on the right

4. y = -3x - 3

- substitute –1,0,1 in for x and then solve for y

{-1,0,1} because that keeps the graph near the origin

If x = -1

y = -3(-1) – 3

y = 3 – 3

y = 0

y

x

y

-1

0

1

0

If x = 0

y = -3(0) – 3

y = 0 – 3

y = -3

-3

-6

x

If x = 1

y = -3(1) – 3

y = -3 – 3

y = -6