Question

Identify the number of solution on the graphs below and tell what kind of lines they are ( parallels, straight, intersecting, one, curved ongoing, etc

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The number of solution on the graphs below.

Given:

Step 1

Give short note on the a graph with no solution, one solution and infinitely many solution.

No solution

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

One Solution

If the graphs of the equations intersect, then there is one solution that is true for both equations.

Infinitely many solution

If the graphs of the equations are the same, then there are infinitely many number of solutions that are true for both equations.

Step 2

Identify the number of solution for each graph using the above explanation.

Graph 1 intersect, hence it has one solution.

Graph 2 are parallel lines, hence it has no solution.

Graph 3 has the same line, hence, it has infinitely many solutions.

ANSWER

One solution

No solution

Infinitely many solutions