Distance between two points

Learning Objectives Identify the coordinates of points on a coordinate plane. Distinguish between horizontal and vertical line segments. Calculate the horizontal distance between two points using their x-coordinates. Calculate the vertical distance between two points using their y-coordinates. Apply the concept of absolute value to ensure distance is always positive. Solve real-world problems involving horizontal and vertical distances on a grid. Have you ever looked at a map and wondered how far apart two places are? 🗺️ Today, we'll learn how to measure distances on a special kind of map called a coordinate plane! In this lesson, you will learn how to find the distance between two points that are either directly above/below each other or directly side-by-side on a coo...

TermDefinitionExample Coordinate PlaneA two-dimensional surface formed by the intersection of a horizontal number line (x-axis) and a vertical number line (y-axis).Imagine a grid like a checkerboard where you can locate any square using two numbers. CoordinatesA set of values that show an exact position on a coordinate plane, written as an ordered pair (x, y).The point (3, 5) means 3 units right from the origin and 5 units up. Ordered PairA pair of numbers (x, y) that specifies the location of a point on a coordinate plane, where 'x' is the horizontal position and 'y' is the vertical position.In the ordered pair (2, -4), 2 is the x-coordinate and -4 is the y-coordinate. x-axisThe horizontal number line on a coordinate plane, used to measure horizontal distance from the...

Horizontal Distance Formula $$d = |x_2 - x_1|$$ To find the horizontal distance between two points, subtract their x-coordinates and take the absolute value. This formula works when the y-coordinates of the two points are the same. Vertical Distance Formula $$d = |y_2 - y_1|$$ To find the vertical distance between two points, subtract their y-coordinates and take the absolute value. This formula works when the x-coordinates of the two points are the same.