Question

Click on the solution set below until the correct one is displayed.

infinite set of points n the line
point in quadrant 1
empty set

Answer 1

What is the question?

Answer 2

to click on the solution until it matches the graph

Answer 3

Ok.
The graph shows lines l and m.
The two lines are the graphs of two equations that form a system of equations.
You are asked what the solution of the system of equations is.

Answer 4

The solution of a system of equations which consists of two lines is all points that satisfy BOTH lines. This means it's the point where the lines intersect.

Answer 5

When you are given a system of two linear equations, there can be three different outcomes:
1. The lines intersect at one single point. That point is the solution of the system of equations. There is only one solution.
2. The two equations represent the same line. In this case, every point on the line is a solution. There is an infinite number of solutions.
3. The two lines are parallel and do not intersect. In this case, there is no point that satisfies both lines, so there is no solution.

Answer 6

Which of the three cases above do you have in this problem?

Answer 7

so would it be an empty set ???

Answer 8

Correct. Since the lines are parallel, they do not intersect. They have no points in common. There is no solution, so the solution set is the empty set because there is no solution to put in the solution set.

Answer 9

ok thank you