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On the x-axis

the positive direction is to the right and the negative direction is to the left.

On the y-axis

the positive direction is up and the negative direction is down.

When writing an ordered pair, the order is very important.

The x-value always comes first, and the y-value always comes second. The variables in an ordered pair are written in alphabetical order.

x-Coordinate

is the first number in an ordered pair and it represents the location relative to the x-axis.

y-Coordinate

The vertical measure, which is the second number in an ordered pair.

origin

The centre point of a number line (ground floor of a hotel, freezing point on a thermometer)

Quadrants are labeled as follows:

I = Right Upper Quadrant

ordered pair

A pair of numbers that can be used to locate a point on a coordinate plane.

Intercept

The intercept b (little o), gives a starting value in y-units. It's the y^ - value when x = 0.

x-intercept

the point where the line crosses the x-axis

y-intercept

the point where the line crosses the y-axis

slope

(y₂-y₁)/(x₂-x₁)

Rise

the rise of a line is the change in the vertical position, or the difference between the y-coordinates of two points on the line.

Run

the run of a line is the change in the horizontal position, or the difference between the x-coordinates of two points on the line.