Question

Which system of equations is represented by the graph? (2 points)

Answer 1

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.

Answer 2

The system of equations is represented by the graph y= x2 + 6x +7 and x + y  = 1
Two equation accept the values (-6,7) and (-1,2).