No Prob-Llama Plotting Points (2024)

FAQs

How to plot points on the graph? ›

Step 1: Identify the point in question, (x,y). Step 2: Determine its x-coordinate, which will be the horizontal distance from the origin. Step 3: Determine its y-coordinate, which will be the vertical distance from the origin. Step 4: Plot or label the point (depending on what the question is asking).

The x coordinate always comes first, followed by the y coordinate. That is why (3, 4) is not the same as (4, 3). (3, 4) refers to a point three units to the right of zero and four units above zero. (4, 3) refers to a point four units to the right of zero and three units above zero.

When plotting points or finding the coordinates of given points, we first look at the horizontal direction. We start at the origin and travel the necessary distance left or right, and this number of units represents the x-coordinate. If we move to the right, this number will be positive; to the left, negative.

One of the most common ways you can write latitude and longitude is via the Degrees, Minutes, Seconds (DMS) structure. It looks like this: 32° 18' 23.1” N 122° 36' 52.5” W. It is a frequently used format to mark maps and is a lot like telling time. There are sixty seconds in a minute and sixty minutes in a degree.

Cartesian coordinates of the plane

The origin is the intersection of the x and y-axes. The Cartesian coordinates of a point in the plane are written as (x,y). The first number x is called the x-coordinate (or x-component), as it is the signed distance from the origin in the direction along the x-axis.

Coordinates are written as (x, y) meaning the point on the x-axis is written first, followed by the point on the y-axis. Some children may be taught to remember this with the phrase 'along the hall, up the stairs', meaning that they should follow the x-axis first and then the y.

The coordinate plane is divided into four sections, called quadrants. Quadrant I has positive x and y values, Quadrant II has negative x and positive y, Quadrant III has negative x and y, and Quadrant IV has positive x and negative y. The point (-7,7) is in Quadrant II.

The first quadrant is the upper right-hand corner of the graph, the section where both x and y are positive. The second quadrant, in the upper left-hand corner, includes negative values of x and positive values of y. The third quadrant, the lower left-hand corner, includes negative values of both x and y.

A cartesian plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0).

Points are identified by stating their coordinates in the form of (x, y). Note that the x-coordinate always comes first. For example, in the figure we've been using, we have identified both the x and y coordinate for each of the points B and D. The x-coordinate of point B is 100.