The Coordinate System

The video tutorial introduces the concept of using number lines to represent quantities, such as distances on a chessboard. It explains how to create a coordinate plane by intersecting horizontal and vertical number lines, known as the x-axis and y-axis, respectively. The origin is the intersection point where counting begins. The tutorial further explains how to locate points on the coordinate plane using x and y coordinates, which represent distances from the origin. The coordinate system is a method to determine the position of points on the plane, exemplified by chess pieces' positions.

What is the primary use of a number line as described in the video?

• To represent different quantities like distances

• To calculate the area of shapes

• To measure time intervals

• To determine the weight of objects

What is the name of the horizontal line in a coordinate plane?

• x-axis

• w-axis

• z-axis

• y-axis

Where do the x-axis and y-axis intersect on a coordinate plane?

• At the vertex

• At the endpoint

• At the origin

• At the midpoint

How is the position of a point determined on a coordinate plane?

• By its distance from the top right corner

• By its distance from the origin along both axes

• By its size and weight

• By its color and shape

What do the x-coordinate and y-coordinate represent?

• The weight and height of a point

• The speed and direction of a point

• The distance from the origin along the x-axis and y-axis

• The color and size of a point

What are the coordinates of the origin?

• (1, 0)

• (0, 1)

• (1, 1)

• (0, 0)

What is the coordinate system used for?

• To locate points on a plane

• To measure temperature

• To calculate speed

• To determine volume