I always remember that we pray vertically, meaning vertical is up and down. Works for me.
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If you remember what the horizon looks like you'll remember that horizontal stretches from left to right.
Non-vertical lines could be slanted or horizontal.
The y-axis is vertical and the x-axis is horizontal.
Vertical is up and horizontal is across
"Up and down" is vertical. Side to side (or across) is horizontal. An easy way to remember this is "horizontal" runs like the horizon. The vertical measurment is usually referred to as the height. The length would be the horizontal measurement.