Final answer:
A system of equations with one solution is represented by two lines that intersect at one point on a graph. This happens when each line has a different slope, meaning they are not parallel or coincident.
Step-by-step explanation:
A system of equations with one solution will have lines that intersect at one point. When two lines are represented by equations in a two-dimensional coordinate system, and they have exactly one solution, it means that the lines cross each other at exactly one location. This is often visualized on a graph where the x-axis is horizontal and the y-axis is vertical.
Each line's equation, typically in the form of y = mx + b, represents a straight line on this graph. The variables m and b represent the slope and y-intercept, respectively. If two lines have different slopes, they will intersect at a single point, unless they are parallel, in which case they will never meet, or coincident, meaning they are the same line and have infinite points in common.