Learn to specify the location of a point using coordinates, and represent floor plans and layouts on a grid.
A point's location can be described using two numbers — its horizontal and vertical distance from a reference point — written as an ordered pair (x, y).
A point is 5 units right and 3 units up from the origin. Write its coordinates.
(5, 3)
What are the coordinates of a point that lies exactly on the origin?
(0, 0)
The plane is divided into four quadrants by the x-axis and y-axis, each with a distinct sign pattern for coordinates.
In which quadrant does the point (−4, 6) lie?
Quadrant II (x negative, y positive)
In which quadrant does the point (7, −2) lie?
Quadrant IV (x positive, y negative)
1. Write the coordinates of a point 6 units left and 2 units down from the origin.
2. In which quadrant does (3, 8) lie?
3. In which quadrant does (−5, −9) lie?
4. A floor plan places a table at (4, 2) and a chair at (4, 5). What do they have in common?
5. What is the y-coordinate of any point lying on the x-axis?