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Level 251

Linear Equations in Two Variables


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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.