In this expression, Δx is the change in position (the displacement) and Δt is the amount of time ... Yes, this would be a boring graph—but let's do it anyway. Here's what it would look like.

Such graphs are known as displacement-time graphs. Sections A and C show travelling away from home. Sections B and D are when the journey has paused for a rest or a wait.

The velocity time graphs give all three variables for motion–velocity which can be read off at any time. Area is displacement and gradient is acceleration.