4.1 Graphing Systems of Linear Equations (Due 2/11/25)
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Last updated 8 months ago
36 questions
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 2/6/25
Slope-Intercept Form
Slope (m)
y-intercept (b)
Required
9 points
9
Question 1
1.
The slope of a line is the ratio of __________ over __________. Another name for slope is __________.
Required
5 points
5
Question 2
2.
Write the equation in slope intercept form with the given information:
Required
5 points
5
Question 3
3.
Write the equation in slope intercept form with the given information:
Required
3 points
3
Question 4
4.
Click on the y-intercept
Required
3 points
3
Question 5
5.
Click on the x-intercept
Required
3 points
3
Question 6
6.
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
Required
2 points
2
Question 7
7.
Identify the coordinate (4,-4)
Required
2 points
2
Question 8
8.
Identify the coordinate (-5,5)
Required
2 points
2
Question 9
9.
Identify the coordinate (-3,2)
Required
2 points
2
Question 10
10.
Identify the coordinate (3,0)
Required
10 points
10
Question 11
11.
Identify the coordinate (0,3)
Required
2 points
2
Question 12
12.
Identify the coordinate (0,-4)
Required
10 points
10
Question 13
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
_______
Required
10 points
10
Question 14
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
_______
Required
10 points
10
Question 15
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
_______
Required
10 points
10
Question 16
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
_______
Required
10 points
10
Question 17
17.
What are the x and y-intercepts of this function? (Do not use spaces when you enter the coordinates)
x-intercept
_______
y-intercept
_______
Required
5 points
5
Question 18
18.
What does x equal for any y-intercept?
Required
5 points
5
Question 19
19.
What does y equal for any x-intercept?
Required
10 points
10
Question 20
20.
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 points
10
Question 21
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
_______
Required
20 points
20
Question 22
22.
Use x and y-intercepts of this equation to graph it.
Required
10 points
10
Question 23
23.
Use x and y-intercepts of this equation to graph it.
Required
10 points
10
Question 24
24.
Use x and y-intercepts of this equation to graph it.
4x - 3y = 12
Required
20 points
20
Question 25
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:
_______
Day 2 2/10/25
Solving a System of Equations by Graphing
Required
5 points
5
Question 26
26.
What is the solution to this system of equations?
Required
5 points
5
Question 27
27.
What is the solution to this system of equations?
Required
5 points
5
Question 28
28.
What is the solution to this system of equations?
Required
5 points
5
Question 29
29.
What is the solution to this system of equations?
Required
5 points
5
Question 30
30.
What is the solution to this system of equations?
Required
5 points
5
Question 31
31.
What is the solution to this system of equations?
Required
20 points
20
Question 32
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)
Required
20 points
20
Question 33
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)
Required
20 points
20
Question 34
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)
Required
20 points
20
Question 35
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)
Required
20 points
20
Question 36
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)
