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Chapter 7: Problem 18

Plot the given point in a rectangular coordinate system. \((2.5,3.5)\)

Short Answer

Expert verified
Step 1: Grasping the coordinate system, knowing that it consists of an x (horizontal) and y (vertical) axis. Step 2: Determine the x and y coordinates of the given point. In this case, \(x = 2.5\) and \(y = 3.5\). Step 3: Plot the point starting from the origin (0,0), moving 2.5 units to the right on the x-axis, then 3.5 units up on the y-axis. This position is the point \((2.5, 3.5)\).

Step by step solution

01

Understand the coordinate system

In a two-dimensional coordinate system, pairs of numbers are used to locate points. Each pair, called an ordered pair, is written as \((x, y)\). The x-coordinate represents the horizontal position of the point, while the y-coordinate represents its vertical position. The origin, represented by \((0,0)\), is the point from which these positions are calculated.
02

Determine the position of the given point

Identify the given point, \((2.5, 3.5)\), in this case, where \(2.5\) is the x-coordinate and \(3.5\) is the y-coordinate. This means the point is located \(2.5\) units to the right of the origin and \(3.5\) units above the origin.
03

Plot the point

Plot the point on the coordinate system. Begin at the origin (0,0). Move \(2.5\)units to the right along the x-axis. From there, move \(3.5\) units upwards along the y-axis. The location where these two movements intersect is the point \((2.5, 3.5)\).

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