Graphing a Linear System
Question 1
Which linear system could the graph represent?
Responses
A x + y = 2
2x + 2y = 8x + y = 2 2x + 2y = 8
B 4x + 4y = 4
x + y = 14x + 4y = 4 x + y = 1
C −x + y = 2
x + 2y = 2−x + y = 2 x + 2y = 2
D 2x − y = 4
x + 2y = −32x − y = 4 x + 2y = −3
Question 2
The system represented by the graph has how many solutions?
Responses
A 11
B 00
C 22
D infinitely many
Based on the given graph, it is difficult to determine the exact linear system it represents.
For question 1, none of the options provided match the graph given, so none of the options can be chosen.
For question 2, it is impossible to determine the number of solutions based on the graph alone. The graph could represent a system with no solution, one solution, or infinitely many solutions.