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4.1 Graphing Systems of Linear Equations (Due SoC 1/10/24)

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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.

Day 1 1/8/24

Slope-Intercept Form



Slope (m)

y-intercept (b)

Question 1
1.
The slope of a line is the ratio of __________ over __________. Another name for slope is __________.
Question 2
2.

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

Question 3
3.

Click on the y-intercept

Question 4
4.

Given the slope and y-intercept of the line, find the correct graph of the given line.

slope = 2/3; y-intercept = 1

Finding Intercepts

Question 5
5.

Identify the coordinate (4,-4)

Question 6
6.

Identify the coordinate (-3,2)

Question 7
7.

Identify the coordinate (3,0)

Question 8
8.

Identify the coordinate (0,3)

Question 9
9.

Identify the coordinate (0,-4)

Question 10
10.
What are the x and y-intercepts of this function? (Do not use spaces when you enter the coordinates)

x-intercept
_______
y-intercept
_______
Question 11
11.

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
_______
Question 12
12.

What does x equal for any y-intercept?

Question 13
13.

What does y equal for any x-intercept?

Question 14
14.

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

(Do not use spaces when you enter the coordinates)
x-int
_______
y-int
_______
Question 15
15.
What are the x and y-intercepts of this equation:


(Do not use spaces when you enter the coordinates)
x-int
_______
y-int
_______
Question 16
16.

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

Question 17
17.

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

Question 18
18.
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:
_______


Day 2 1/9/24

Solving a System of Equations by Graphing

Question 19
19.

What is the solution to this system of equations?

Question 20
20.

What is the solution to this system of equations?

Question 21
21.

What is the solution to this system of equations?

Question 22
22.

What is the solution to this system of equations?

Question 23
23.

What is the solution to this system of equations?

Question 24
24.

What is the solution to this system of equations?

Question 25
25.

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)

Question 26
26.

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)

Question 27
27.

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)

Question 28
28.

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)

Question 29
29.

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)