Question

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

y = x2 - 6x - 7
x - y = 1
y = x2 - 6x + 7
x + y = -1
y = x2 + 6x - 7
x - y = 1
y = x2 + 6x + 7
x + y = 1

Answer 1

Answer:
`y=x^2+6x+7\\ x+y=1`

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.