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Chapter 1: Problem 6

Plot the points in the Cartesian plane. $$\left(1,-\frac{1}{3}\right),(0.5,-1),\left(\frac{3}{7}, 3\right),\left(-\frac{4}{3},-\frac{3}{7}\right),(-2,2.5)$$

Short Answer

Expert verified
The points have been successfully plotted on the Cartesian plane.

Step by step solution

01

Understand the Cartesian plane

A Cartesian plane is a plane with a rectangular coordinate system that associates each point in the plane with a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.
02

Identify the coordinate points

Determine the coordinate points that you have been given in the problem. Here, the points are \( (1,-\frac{1}{3}), (0.5,-1), (\frac{3}{7}, 3), (-\frac{4}{3},-\frac{3}{7}), (-2,2.5) \).
03

Plot the coordinate points

Each pair of coordinates corresponds to a specific point in the plane. For each point, the first number (or coordinate) in the pair is the x-coordinate, while the second number is the y-coordinate. So, for example, for the first point, move 1 unit along the x-axis and -1/3 units along the y-axis and place a dot there representing the point. Do this for each point.
04

Mark the points

After plotting, mark and label each point so it can be easily identified. This can be done by writing the coordinates next to the point.

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