Daily Archives: April 19, 2022

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Math 10: Week 9 – Plotting Points on a Graph

  By Louwrens • April 19, 2022

A point in a plane contains two components where order matters! It comes in the form (,y) where comes first, and  comes second.

  • The -value tells how the point moves either to the right or left along the -axis.
  • The -value tells how the point moves either up or down along the -axis.

A coordinate plane is composed of two lines intersecting at a 90-degree-angle (making them perpendicular lines) at the point (0,0) known as the origin.

here is an illustration of a coordinate plane where the main horizontal line is called the x-axis while the main vertical line is called the y-axis. the x and y-axes intersect at the point (0,0) which is commonly known as the origin. They are perpendicular to each other because they intersect at a 90-degree angle.

  • The x-component of the point (,) moves the point along a horizontal line. If the -value is positive, the point moves “-units” towards the right side. On the other hand, if the -value is negative, the point moves “-units” towards the left.
  • The -component of the point (,) moves the point along a vertical line. If the -value is positive, the point moves “-units” in an upward direction. However, if the -value is negative, the point moves “-units” in a downward direction.

The intersection of the -axis and -axis results to the creation of four (4) sections or divisions

a coordinate plane can be divided into four quadrants. we start counting with the top half of the coordinate plane first. the top right section is considered the first (I) quadrant while the top left section is called the second (II) quadrant. we then continue by moving on to the bottom half of the coordinate plane. below the second quadrant is the third (III) quadrant located on the bottom left section of the plane. right next to it is the last or fourth (IV) quadrant which is located on the bottom right section of the Cartesian plane.

  • The first quadrant is located at the top right section of the plane.
  • The second quadrant is located at the top left section of the plane.
  • The third quadrant is located at the bottom left section of the plane.
  • The fourth quadrant is located at the bottom right section of the plane.