Question

Drag each graph to show if the system of linear equations it represents will have no solutions, one solution at (2,6), one solution at (−6,−2), or infinitely many solutions.

Answer 1

Explanation:

Answer 2

see the explanation

Explanation:

Verify each case

Part 1) The graph show two identical lines, then the system has infinitely many solutions

Part 2) The graph show two perpendicular lines.

Remember that the solution of the system is the intersection point both graphs

The intersection point is (2,6)

therefore

The system has one solution at (2,6)

Part 3) The graph show two intersecting lines at (-6,-2)

Remember that the solution of the system is the intersection point both graphs

The intersection point is (-6,-2)

therefore

The system has one solution at (-6,-2)