Which statement accurately describes the purpose and structure of the coordinate plane?
Question
Which statement accurately describes the purpose and structure of the coordinate plane?
Solution
The coordinate plane, also known as the Cartesian plane, serves the purpose of visually representing mathematical concepts and relationships between numbers. It is a two-dimensional surface formed by the intersection of two perpendicular lines, known as axes.
The horizontal axis is typically referred to as the x-axis, while the vertical axis is referred to as the y-axis. The point where these two axes intersect is known as the origin, which is the point (0,0).
The plane is divided into four quadrants by these axes. The quadrants are labeled counterclockwise from the top right as Quadrant I, Quadrant II, Quadrant III, and Quadrant IV.
Each point in the plane is represented by an ordered pair of numbers (x, y). The first number, or x-coordinate, represents the horizontal distance of the point from the origin. The second number, or y-coordinate, represents the vertical distance of the point from the origin.
In summary, the purpose of the coordinate plane is to provide a visual way to represent and analyze mathematical relationships, and its structure is a two-dimensional plane divided into four quadrants by two perpendicular axes.
Similar Questions
What is the name for the pair of numbers that represent a point on the coordinate plane?Ordered pairNumber setCoordinatesCoordinate plane
When the Cartesian coordinate system is used to describe three-dimensional space, one needs three axes. These axes are typically called the _____, _____, and _____ axes.A.xB.yC.zD.aE.vSUBMITarrow_backPREVIOUS
Which of the following statements is true?ResponsesA In the x,y-coordinate plane, the axes are parallel and intersect at the point (0, 0).In the x , y -coordinate plane, the axes are parallel and intersect at the point (0, 0).B In the x,y-coordinate plane, the axes are perpendicular and intersect at the point (0, 0).In the x , y -coordinate plane, the axes are perpendicular and intersect at the point (0, 0).C In the x,y-coordinate plane, the axes are perpendicular and intersect at various points.In the x , y -coordinate plane, the axes are perpendicular and intersect at various points.D In the x,y-coordinate plane, the axes are parallel and intersect at various points.
Which statement is true about the coordinates (3 , 2)? A. To locate the point with coordinates (3 , 2), travel three units to the right on the x-axis and two units down on the y-axis, from the origin. B. To locate the point with coordinates (3 , 2), travel three units to the right on the x-axis and two units up on the y-axis, from the origin. C. To locate the point with coordinates (3 , 2), travel three units to the left on the x-axis and two units down on the y-axis, from the origin. D. To locate the point with coordinates (3 , 2), travel three units to the left on the x-axis and two units up on the y-axis, from the origin.
A coordinate plane has a horizontal axis labeled t (s) and a vertical axis labeled vx (m/s). There are five connected line segments.The first goes from (0,-8) to (4,-8); the second from (4,-8) to (6,0); the third from (6,0) to (10,16); the fourth from (10,16) to (13,16); and the fifth from (13,16) to (18,0).
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.