Coordinate plane review

Learning Objectives Identify and label the x-axis, y-axis, and origin on a coordinate plane. Locate and plot ordered pairs (x, y) in all four quadrants. Determine the quadrant or axis on which a given point lies. Understand the relationship between ordered pairs and their graphical representation. Calculate the distance between two points on a coordinate plane using the distance formula. Identify the coordinates of points given on a graph. Ever wonder how GPS knows exactly where you are? 📍 It uses a system very similar to the coordinate plane! In this lesson, we'll refresh our understanding of the coordinate plane, a fundamental tool in mathematics. We'll review how to plot points, identify locations, and understand its structure, which is crucial for graphing li...

TermDefinitionExample Coordinate PlaneA two-dimensional plane formed by the intersection of two perpendicular number lines, used to locate points.Imagine a grid on a map; that's like a coordinate plane for finding locations. x-axisThe horizontal number line on the coordinate plane, typically representing the independent variable.On a graph showing time vs. distance, the x-axis would represent time. y-axisThe vertical number line on the coordinate plane, typically representing the dependent variable.On a graph showing time vs. distance, the y-axis would represent distance. OriginThe point where the x-axis and y-axis intersect, represented by the ordered pair (0,0). It's the starting point for plotting.The exact center of the coordinate plane, where both axes cross. Ordered PairA...

Plotting Ordered Pairs To plot a point $(x, y)$, start at the origin $(0,0)$. Move $x$ units horizontally (right if $x > 0$, left if $x < 0$). Then, from that position, move $y$ units vertically (up if $y > 0$, down if $y < 0$). This rule tells you the precise steps to place any point on the coordinate plane based on its given coordinates. Quadrant Identification Quadrant I: $(+, +)$; Quadrant II: $(-, +)$; Quadrant III: $(-, -)$; Quadrant IV: $(+, -)$. Points on an axis are not in any quadrant. Use the signs of the x and y coordinates to determine which of the four regions a point lies in. Remember to number quadrants counter-clockwise starting from the top-right. Distance Formula The distance $d$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given b...