Question

a system with no solution occurs when the lines are

Explanation:

Analyze the geometric meaning of a system with no solution

Using the No Solution Systems knowledge point

$$ \text{No solution} \iff \text{The lines never intersect} $$

Determine the relationship between the lines

Using the Parallel Lines Slopes knowledge point

$$ \text{Lines never intersect} \iff \text{The lines are parallel} $$

Answer:

A system with no solution occurs when the lines are <blank>parallel</blank>.