Answer: \(y=x^2+6x+7\\ x+y=1\)
Step-by-step explanation:
From the given graph we can see (-6,7) and (-1,2) are the intersection points of the a curve and a line .
Since we know that when the graphs of two equations cross, the point of intersection lies on both lines, means that it is a possible solution for both equations.
From all the options only last options satisfy the given intersection points.
For (-6,7) , \((-6)^2+6(-6)+7=7\)
\(-6+7=1\)
Hence, \(y=x^2+6x+7\\ x+y=1\), is the system of equations is represented by the graph.
Rest of the other options do not satisfy the given intersection points.
