/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 5 Plot the given point in a rectan... [FREE SOLUTION] | 91影视

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Chapter 7: Problem 5

Plot the given point in a rectangular coordinate system. \((-3,-5)\)

Short Answer

Expert verified
The point \((-3,-5)\) is located 3 units to the left and 5 units down in a rectangular coordinate system.

Step by step solution

01

Understand the coordinates

A point in a rectangular coordinate system is represented as \((-a, -b)\). Here we have the point \((-3, -5)\). This means that 'a' is 3 and 'b' is 5. In a coordinate system, 'a' refers to the distance on the x-axis and 'b' refers to the distance on the y-axis. Negative sign indicates that the point is on the opposite direction.
02

Plot the point onto the coordinate system

Now we plot this onto the coordinate system. On the x-axis, we move 3 units to the left(absence of negative sign in the coordinate specifies that the movement is towards the left). From this point, we now move 5 units down along the y-axis, because our 'b' coordinate is -5(normally upward is taken as positive and downward as negative). Hence, the location of our point \((-3, -5)\) will be 3 units to the left and 5 units down.

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