The Cartesian Plane is 2 dimensional surface, where positions represent coordinates of the form (x,y). The cartesian plane has
an x-axis: a horizontal line where y=0
a y-axis: a vertical line where x=0.
the origin: where the two axes meet. Both x and y are zero here, so its coordinates are (0,0)
The coordinates (x,y) of a point tell you how far along the x-axis the point is, and how far along the y-axis the point is. By convention, positive x coordinates are to the right of the origin, and positive y-coordinates above the origin. Similarly, negative x and y coordinates are to the left of and below the origin, respectively.
The x and y axes divide the coordinate plane into 4 regions called quadrants. They are often labeled with roman numerals I,II,III and IV.
The distance between two points (x1,y1) and (x2,y2) is given by
The coordinates of the midpoint of two points is
The gradient of the line is a measure of its steepness. It is calculated by measuring the rise (change in y) in the line over a certain run (change in x).
The gradient of the line passing through the points (x1,y1) and (x2,y2) is
Nice work completing Coordinates, midpoint, and distance, here's a quick recap of what we covered:
Exercises checked off
The Cartesian Plane is 2 dimensional surface, where positions represent coordinates of the form (x,y). The cartesian plane has
an x-axis: a horizontal line where y=0
a y-axis: a vertical line where x=0.
the origin: where the two axes meet. Both x and y are zero here, so its coordinates are (0,0)
The coordinates (x,y) of a point tell you how far along the x-axis the point is, and how far along the y-axis the point is. By convention, positive x coordinates are to the right of the origin, and positive y-coordinates above the origin. Similarly, negative x and y coordinates are to the left of and below the origin, respectively.
The x and y axes divide the coordinate plane into 4 regions called quadrants. They are often labeled with roman numerals I,II,III and IV.
The distance between two points (x1,y1) and (x2,y2) is given by
The coordinates of the midpoint of two points is
The gradient of the line is a measure of its steepness. It is calculated by measuring the rise (change in y) in the line over a certain run (change in x).
The gradient of the line passing through the points (x1,y1) and (x2,y2) is
Nice work completing Coordinates, midpoint, and distance, here's a quick recap of what we covered:
Exercises checked off