Quadrant and axes

Learning Objectives Identify and label the x-axis and y-axis on a coordinate plane. Locate the origin (0,0) on a coordinate plane. Name the four quadrants (I, II, III, IV) and understand their numbering convention. Determine the signs of the x and y coordinates in each quadrant. Identify whether a given point lies on an axis or in a specific quadrant. Plot points on the coordinate plane and determine their quadrant or axis location. Ever wonder how GPS knows exactly where you are on a map? 📍 It uses a system much like the coordinate plane we'll explore today! In this lesson, you'll learn about the fundamental building blocks of the coordinate plane: the axes and the quadrants. Understanding these concepts is crucial for graphing linear functions and solving syste...

TermDefinitionExample Coordinate PlaneA two-dimensional plane formed by the intersection of two perpendicular number lines, used to locate points.A graph paper with an x-axis and y-axis drawn on it is a visual representation of a coordinate plane. X-axisThe horizontal number line on the coordinate plane, extending infinitely in both positive and negative directions.When you move right from the center, you're moving along the positive x-axis; moving left is along the negative x-axis. Y-axisThe vertical number line on the coordinate plane, extending infinitely in both positive and negative directions.When you move up from the center, you're moving along the positive y-axis; moving down is along the negative y-axis. OriginThe point where the x-axis and y-axis intersect, represented...

Quadrant Sign Convention $ \text{Quadrant I: } (x > 0, y > 0) \Rightarrow (+, +) \text{Quadrant II: } (x < 0, y > 0) \Rightarrow (-, +) \text{Quadrant III: } (x < 0, y < 0) \Rightarrow (-, -) \text{Quadrant IV: } (x > 0, y < 0) \Rightarrow (+, -) This rule describes the specific combination of positive and negative signs for the x-coordinate and y-coordinate for any point located within each of the four quadrants. Quadrants are numbered counter-clockwise starting from the top-right. Points on Axes $ \text{Points on the x-axis: } (x, 0) \quad (\text{where } y = 0) \text{Points on the y-axis: } (0, y) \quad (\text{where } x = 0) This rule helps identify points that lie directly on either the horizontal (x) or vertical (y) axis. If a point's y-coo...