Question

here is an example of 2 lines being graphed. what answer choice(s) match the situation shown? select all that apply (there are 2 correct answers). select all correct options the system has no solution. the lines are on top of each others. the lines do not intersect. the lines intersect. the system has exactly one solution.

Explanation:

To solve this, we analyze the graph of two lines:

1. If two lines intersect, the system of equations (represented by the lines) has exactly one solution (the intersection point).
2. "The lines intersect" means they cross at a point, and "the system has exactly one solution" is the corresponding statement about the system of equations.
3. The other options: "no solution" and "do not intersect" are for parallel lines; "lines are on top of each other" is for coinciding lines (infinite solutions), which don't match the graph of two distinct intersecting lines.

Answer:

D. The lines intersect, E. The system has exactly one solution