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You could try drawing a vertical line as far from the points as you can get - though why you would want to do that defeats me.

Q: How would you draw a line of worst fit for a graph with horizontal error bars?

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That would be a bar graph.

constant speed

The straight horizontal line on the graph says: "Whatever time you look at, the speed is always the same". This is the graph of an object moving with constant speed.

that would indicate that the object is at rest (static object) :D

Constant speed ... zero acceleration.

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The horizontal axis of a typical graph would be the "X-axis"

The straight horizontal line on a graph is referred to as the x-axis. The vertical line on a graph is the y-axis.

That would be a bar graph.

constant speed

The straight horizontal line on the graph says: "Whatever time you look at, the speed is always the same". This is the graph of an object moving with constant speed.

that would indicate that the object is at rest (static object) :D

The given speed is constant for the given period

Constant speed ... zero acceleration.

The horizontal axis.

In simple cases, you would put time on the horizontal axis.

A horizontal line on a velocity-time (V-T) graph would show constant speed. This is because the slope of a V-T graph represents acceleration, and a horizontal line means zero acceleration, indicating constant speed.

its not the equation that matters it is how you map it out on the graph, the vertical and horizontal axis are interchangeable. For example if x is the vertical axis and y is the horizontal axis the graph would look different than if y was the vertical axis and x was the horizontal axis. The narrow and wide of a graph depend on the horizontal axis ( how quickly the numbers increase and or how far apart the markers are spaced) ...If the intervals are counted by 5 the graph would be wider than if the intervals were counted by 500.