4.1 Graphing Systems of Linear Equations (Due SoC 1/18/23)

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)

Required

9

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

Required

5

Write the equation in slope intercept form with the given information:

Required

3

Click on the y-intercept

Required

3

Given the slope and y-intercept of the line, write the equation
in slope-intercept form:

slope = 2/3; y-intercept = 1

Finding Intercepts

Required

2

Identify the coordinate (4,-4)

Required

2

Identify the coordinate (-3,2)

Required

2

Identify the coordinate (3,0)

Required

10

Identify the coordinate (0,3)

Required

2

Identify the coordinate (0,-4)

10

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

x-intercept
_______ 
y-intercept
_______ 

Required

10

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
_______ 

Required

5

What does x equal for any y-intercept?

Required

5

What does y equal for any x-intercept?

Required

10

What are the x and y-intercepts of this equation:
(Do not use spaces when you enter the coordinates)
x-int
_______ 
y-int
_______ 

Required

10

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


(Do not use spaces when you enter the coordinates)
x-int
_______ 
y-int
_______ 

Required

20

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

Required

10

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

Required

20

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:
_______ 

Solving a System of Equations by Graphing

Required

20

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)

Required

20

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)

Required

20

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)

Required

20

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)

Required

20

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)

4.1 Graphing Systems of Linear Equations (Due SoC 1/18/23)

Slope-Intercept Form

Slope (m)

y-intercept (b)

Write the equation in slope intercept form with the given information:

Click on the y-intercept

Given the slope and y-intercept of the line, write the equationin slope-intercept form:slope = 2/3; y-intercept = 1

Finding Intercepts

Identify the coordinate (4,-4)

Identify the coordinate (-3,2)

Identify the coordinate (3,0)

Identify the coordinate (0,3)

Identify the coordinate (0,-4)

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)

What does x equal for any y-intercept?

What does y equal for any x-intercept?

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

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

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

9x-15y=45

Solving a System of Equations by Graphing

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)

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)

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)

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)

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)

Slope-Intercept Form

Slope (m)

y-intercept (b)

Write the equation in slope intercept form with the given information:

Click on the y-intercept

Given the slope and y-intercept of the line, write the equationin slope-intercept form:slope = 2/3; y-intercept = 1

Finding Intercepts

Identify the coordinate (4,-4)

Identify the coordinate (-3,2)

Identify the coordinate (3,0)

Identify the coordinate (0,3)

Identify the coordinate (0,-4)

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)

What does x equal for any y-intercept?

What does y equal for any x-intercept?

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

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

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

9x-15y=45

Solving a System of Equations by Graphing

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)

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)

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)

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)

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)

Given the slope and y-intercept of the line, write the equation
in slope-intercept form:

slope = 2/3; y-intercept = 1

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)

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)

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)

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)

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)

Given the slope and y-intercept of the line, write the equation
in slope-intercept form:

slope = 2/3; y-intercept = 1

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)

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)

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)

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)

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)