Simple Examples of Ordered Pairs and Graphing

📚 Quick Study Guide

• 📍 An ordered pair is a pair of numbers, usually written in parentheses, that represents a point on a coordinate plane. The form is $(x, y)$, where $x$ is the x-coordinate (horizontal position) and $y$ is the y-coordinate (vertical position).
• 📈 Graphing an ordered pair involves locating the point on the coordinate plane using its x and y coordinates. Start at the origin (0,0), move horizontally according to the x-coordinate, then vertically according to the y-coordinate.
• ➕ If $x$ is positive, move right; if negative, move left. If $y$ is positive, move up; if negative, move down.
• 🧭 The coordinate plane is divided into four quadrants: I (x>0, y>0), II (x<0, y>0), III (x<0, y<0), and IV (x>0, y<0).
• 📐 Lines can be graphed by plotting two or more ordered pairs that satisfy the equation of the line and then drawing a straight line through those points. For example, to graph $y = x + 1$, you can find ordered pairs like (0, 1), (1, 2), and (-1, 0).

Practice Quiz

1. Which ordered pair represents a point located 3 units to the left of the y-axis and 2 units above the x-axis?
   1. (3, 2)
   2. (-3, 2)
   3. (2, -3)
   4. (2, 3)
2. In which quadrant is the point (-4, -5) located?
   1. Quadrant I
   2. Quadrant II
   3. Quadrant III
   4. Quadrant IV
3. What is the y-coordinate of the ordered pair (7, -1)?
   1. 7
   2. -1
   3. 0
   4. 6
4. Which of the following ordered pairs lies on the line $y = 2x - 1$?
   1. (0, 0)
   2. (1, 1)
   3. (2, 2)
   4. (3, 4)
5. The point (0, 0) is also known as the:
   1. x-intercept
   2. y-intercept
   3. Origin
   4. Quadrant
6. If you plot the points (1, 2) and (1, 5), what kind of line do they form?
   1. Horizontal line
   2. Vertical line
   3. Diagonal line
   4. Curved line
7. Which ordered pair is located on the x-axis?
   1. (0, 5)
   2. (5, 0)
   3. (5, 5)
   4. (1, 1)