estimate solutions to systems of equations graphically
determine the number of solutions the system has and explain how you know.
1.
how many solutions?
□ none □ many □ one at ( , )
how do you know?
2.
how many solutions?
□ none □ many □ one at ( , )
how do you know?
3.
how many solutions?
□ none □ many □ one at ( , )
how do you know?
4.
how many solutions?
□ none □ many □ one at ( , )
how do you know?
5.
how many solutions?
□ none □ many □ one at ( , )
how do you know?
6.
how many solutions?
□ none □ many □ one at ( , )
how do you know?
7.
how many solutions?
□ none □ many □ one at ( , )
how do you know?
8.
how many solutions?
□ none □ many □ one at ( , )
how do you know?
9.
how many solutions?
□ none □ many □ one at ( , )
how do you know?

Question

estimate solutions to systems of equations graphically
determine the number of solutions the system has and explain how you know.
1.
how many solutions?
□ none □ many □ one at (  ,  )
how do you know?
2.
how many solutions?
□ none □ many □ one at (  ,  )
how do you know?
3.
how many solutions?
□ none □ many □ one at (  ,  )
how do you know?
4.
how many solutions?
□ none □ many □ one at (  ,  )
how do you know?
5.
how many solutions?
□ none □ many □ one at (  ,  )
how do you know?
6.
how many solutions?
□ none □ many □ one at (  ,  )
how do you know?
7.
how many solutions?
□ none □ many □ one at (  ,  )
how do you know?
8.
how many solutions?
□ none □ many □ one at (  ,  )
how do you know?
9.
how many solutions?
□ none □ many □ one at (  ,  )
how do you know?

Accepted Answer

# Explanation:
## Step1: Analyze Graph 1
The two lines intersect at one point.
## Step2: Analyze Graph 2
The two lines are parallel (no intersection).
## Step3: Analyze Graph 3
The two lines intersect at one point.
## Step4: Analyze Graph 4
The two lines intersect at one point.
## Step5: Analyze Graph 5
The two lines intersect at one point.
## Step6: Analyze Graph 6
The two lines intersect at one point.
## Step7: Analyze Graph 7
The two lines are parallel (no intersection).
## Step8: Analyze Graph 8
The two lines are the same (coinciding).
## Step9: Analyze Graph 9
The two lines intersect at one point.

# Answer:
1.  **How many solutions?** one at $(-2, 2)$
    **How do you know?** Lines intersect once.
2.  **How many solutions?** none
    **How do you know?** Lines are parallel, no overlap.
3.  **How many solutions?** one at $(1, 2)$
    **How do you know?** Lines intersect once.
4.  **How many solutions?** one at $(-2, -1)$
    **How do you know?** Lines intersect once.
5.  **How many solutions?** one at $(0, -3)$
    **How do you know?** Lines intersect once.
6.  **How many solutions?** one at $(2, -1)$
    **How do you know?** Lines intersect once.
7.  **How many solutions?** none
    **How do you know?** Lines are parallel, no overlap.
8.  **How many solutions?** many
    **How do you know?** Lines are identical, infinite overlap.
9.  **How many solutions?** one at $(3, 0)$
    **How do you know?** Lines intersect once.

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Analyze Graph 1

Step2: Analyze Graph 2

Step3: Analyze Graph 3

Step4: Analyze Graph 4

Step5: Analyze Graph 5

Step6: Analyze Graph 6

Step7: Analyze Graph 7

Step8: Analyze Graph 8

Step9: Analyze Graph 9

Answer: