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Laabri

4.1 Graphing Systems of Linear Equations (Due 2/11/25)

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Last updated 4 months ago
36 Nsɛmmisa

Day 1 2/6/25

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9
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5
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5
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3
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3
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3
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2
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2
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2
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2
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10
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2
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10
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10
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10
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10
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10
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5
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5
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10
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10
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20
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10
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10
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20

Day 2 2/10/25

Solving a System of Equations by Graphing

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5
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5
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5
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5
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5
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5
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20
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20

Essential Question: How can you use graphing to find the solution to a system of equations?

Learning Target: Students will be able to find the solution to a system of equations by graphing those equations on a coordinate graph to determine the point where they are equal.

Complete the entire assignment and show work for full credit.

Slope-Intercept Form

Slope (m)

y-intercept (b)

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1.

The slope of a line is the ratio of . Another name for slope is

Finding Intercepts

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7.

Identify the coordinate (4,-4)

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8.

Identify the coordinate (-5,5)

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9.

Identify the coordinate (-3,2)

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10.

Identify the coordinate (3,0)

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11.

Identify the coordinate (0,3)

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12.

Identify the coordinate (0,-4)

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13.

What are the x and y-intercepts for this function? Use desmos to help you identify them.

(Do not use spaces when you enter the coordinates)

3x + 9y = -9

x-intercept

y-intercept

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14.

What are the x and y-intercepts for this function? Use desmos to help you identify them.

(Do not use spaces when you enter the coordinates)

4x - 5y = 40

x-intercept

y-intercept

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15.

What are the x and y-intercepts for this function? Use desmos to help you identify them.

(Do not use spaces when you enter the coordinates)

y = 3x - 6

x-intercept

y-intercept

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16.

What are the x and y-intercepts for this function? Use desmos to help you identify them.

(Do not use spaces when you enter the coordinates)

x-intercept

y-intercept

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17.

What are the x and y-intercepts of this function? (Do not use spaces when you enter the coordinates)

x-intercept

y-intercept

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18.

What does x equal for any y-intercept?

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19.

What does y equal for any x-intercept?

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20.

What are the x and y-intercepts of this equation:

(Do not use spaces when you enter the coordinates)

x-int

y-int

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21.

What are the x and y-intercepts of this equation

3x+5y=30

(Do not use spaces when you enter the coordinates)

x-int

y-int

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22.

Use x and y-intercepts of this equation to graph it.

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23.

Use x and y-intercepts of this equation to graph it.

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24.

Use x and y-intercepts of this equation to graph it.

4x - 3y = 12

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25.

Find the x- and y-intercept of each equation. Graph the equation using its intercepts.

9x - 15y = 45

(Do not use spaces when you enter the coordinates)

x-intercept:

y-intercept:

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26.

What is the solution to this system of equations?

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27.

What is the solution to this system of equations?

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28.

What is the solution to this system of equations?

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29.

What is the solution to this system of equations?

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30.

What is the solution to this system of equations?

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31.

What is the solution to this system of equations?

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32.

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

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33.

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

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34.

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

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35.

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

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36.

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)