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Question: Choose the linear system, which matches with the graph.
A ) y = x - 1, y = -3x + 1
B ) y = -x - 1, y = -3x + 1
C ) y = x + 1, y = 3x + 1
D ) y = x + 1, y = -3x + 1
Steps to derive
1 From the graph, the y-intercept of line A is 1 and slope = 1-(-2)0-1 = -3.
[Line A passes through (1,-2) and (0,1)]
2 The equation of the line A is y = -3x + 1.
[Substitute the values of slope and y-intercept of the line A in the equation y = mx + b.]
3 From the graph, the y-intercept of line B is -1 and slope = -1-(-2)0-1 = -1.
[Line B passes through (1,-2) and (0,-1)]
4 The equation of the line B is y = -x - 1.
[Substitute the values of slope and y-intercept of the line B in the equation y = mx + b.]
5 The linear system is y = -3x + 1, y = -x - 1.
Hence the right answer is Option B
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