Question

what is the solution to a system of equations if the graphs never intersect?

one solution
no solution
two solutions
infinitely many solutions

Explanation:

Understand graphical solutions of systems

Using the Graphical Solution of Systems knowledge point

$$ \text{Intersection Points} = \text{Solutions to the System} $$

Analyze parallel lines with no intersection

Using the No Solution Systems knowledge point

$$ \text{No Intersection} \implies 0\text{ Solutions} \implies \text{No Solution} $$

Answer:

• One Solution
• No Solution (Correct answer)
• Two Solutions
• Infinitely Many Solutions