In terms of a normal graph (the Cartesian Coordinate System) an ordered pair is identified by the simple means of putting one member on the left (the x axis) and the other on the right (the y axis) and separating the two with a comma, like this: (3,4). That is an ordered pair. It is not the same as (4,3) because the order matters.
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To find an ordered pair given only a data point, you need to know the context of the data point. An ordered pair typically consists of two values, often representing coordinates on a graph. If you have a data point on a graph, the x-coordinate would be the first value in the ordered pair, and the y-coordinate would be the second value. Without additional information, it is not possible to determine the exact ordered pair from just a single data point.
True. That's a way of representing the solution.
A point is described as an ordered pair because it is a pair of numerical values (x, y) that are always presented in the same order. A point on a 2-dimensional plane (which is used very often from Algebra onward) is much easier to use if it is described in some way that is completely understandable, using some sort of universal "code" for points. An ordered pair is a pair of two numbers, one which describes how far to the right the point is from a common reference point, the origin; while the other one describes how far upward it is from the origin. This pair of numbers is always in the order (distance to the right, distance upward), better known as (x,y), so it is not just a pair, but an Ordered Pair.
(x,y). x axis first, the one that goes horizantial. Then your y axis, which is the vertical one
y=mx+b is commonly referred to as slope-intercept form. It is one way to show a linear equation, where: y = the y part of an ordered pair, x = the x part of an ordered pair, m= the slope of a line-rise over run is slope, so your numerator is how many you go up, and your denominator is how many you go over-you draw these dots and then connect them, and b = the y intercept-that is, the ordered pair where the line crosses over the y axis.