
Graph System of Equations
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
4 Slides • 30 Questions
1
Graphing
Graph the following equation:
y=−21x+2
2
Graphing
The black line represents y=−21x+2 .
Graph the following equation on the same grid.
3x+2y=8
**Remember, you need to convert it to slope-intercept form first.
3
Drag and Drop
y=−21x+2
y=−23x+4
What is the intersection point of the system?
(
4
Open Ended
The system of the linear equations below is graphed.
y=−21x+2
y=−23x+4
This system is said to have 1 solution. What do you think that means?
5
Multiple Select
Which of the following graphed systems has one solution?
Select all that apply.
6
Dropdown
7
Dropdown
A
8
Dropdown
A
9
Graphing
Graph the following linear equation:
y=43x+3
10
Graphing
The black line represents y=43x+3 .
Graph the following equation on the same grid.
3x−4y=16
**Remember, you need to convert it to slope-intercept form first.
11
Open Ended
The system of the linear equations below is graphed.
y=43x+3
y=43x−4
This system is said to have no solution. What do you think that means?
12
Multiple Choice
Which of the following graphs best represents a system of equations that has no solution?
13
Drag and Drop
14
Graphing
The linear equation 5x−2y=14 is graphed on the grid.
Graph another line to create a system of linear equations with infinitely many solutions.
15
Multiple Choice
Which of the following best describes a system of equations with infinitely many solutions.
16
Dropdown
17
Labelling
The following goes in your notes.
Click and drag to where each belongs.
No Solution
Infinitely Many Solutions
Same slope, same y-intercept
Different slopes
Same slope, different y-intercepts
Types of Solutions
One Solution
18
Drag and Drop
Rewrite in
Graph
Identify the Solution - the
Check by
19
Graphing
The following goes in your notes
EX1: Graph y=−x+5
Be sure to graph in your notes CORRECTLY.
20
Graphing
The following goes in your notes
y=−x+5 is graphed in black.
EX1 Continued: Graph y=31x−3
Be sure to graph in your notes CORRECTLY.
21
Labelling
The following goes in your notes.
Graph the following system and find the solution.
y=−x+5
y=31x−3
(0, -3)
(5, -3)
(5, 0)
(0, 5)
(-1, 6)
(-3, 0)
(6, -1)
(-3, 5)
22
23
Graphing
The following goes in your notes.
EX2: y=3
Be sure to graph in your notes CORRECTLY.
24
Graphing
The following goes in your notes.
y=3 is graphed in black.
EX2 Continued: 5x+4y=32
Be sure to convert to slope-intercept form FIRST.
Be sure to graph in your notes CORRECTLY.
25
Drag and Drop
Graph the following system and find the solution.
y=3
5x+4y=32
Solution:
(
26
27
Graphing
The following goes in your notes.
EX3: x+2y=4
Be sure to convert to slope-intercept form FIRST.
Be sure to graph in your notes CORRECTLY.
28
Graphing
The following goes in your notes.
x+2y=4 is graphed in black.
EX3 Continued: 2y=−3x+4
Be sure to convert to slope-intercept form FIRST.
Be sure to graph in your notes CORRECTLY.
29
Drag and Drop
Graph the following system and find the solution.
x+2y=4
2y=−3x+4
Solution:
(
30
31
Drag and Drop
If the second equation passes through the points (-9, 2) and (-3, -4), what is the solution to the system?
(
32
33
Open Ended
Things to remember
34
Multiple Choice
Which graph best represents this system of equations and its solution?
2x=6−y
5x−4y=28
Graph the following equation:
y=−21x+2
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GRAPHING
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