Chapter 4, Problem 556RE

In the following exercises, plot each point in a rectangular coordinate system.

556.

(a) $\left(-1,-5\right)$

(b) $\left(-3,4\right)$

(c) $\left(2,-3\right)$

(d) $\left(1,\frac{5}{2}\right)$

To determine

(a)

Plot given point in the rectangular coordinate system.

Answer to Problem 556RE

  

Explanation of Solution

Given information:

Ordered pair $(-1,-5)$

Calculation:

Given ordered pair is $(-1,-5)$. We must plot this point in a rectangular coordinate system.

The first number of the coordinate pair is $x-$ coordinate, and the second number is the $y-$ coordinate.

Since $x=-1$, the point is to the left of the $y-$ axis. Also, since $y=-5$ the point is below the $x-$ axis. The point $(-1,-5)$ is in Quadrant III.

Now let's draw this point in a rectangular coordinate system using desmos graph calculator.

  

To determine

(b)

Plot the given point in the rectangular coordinate system.

Answer to Problem 556RE

  

Explanation of Solution

Given information:

Ordered pair $(-3,4)$

Calculation:

Given ordered pair is $(-3,4)$. We must plot this point in a rectangular coordinate system.

The first number of the coordinate pair is $x-$ coordinate, and the second number is the $y-$ coordinate.

Since $x=-3$, the point is to the left of the $y-$ axis. Also, since $y=4$ the point is above the $x-$ axis. The point $(-3,4)$ is in Quadrant II.

Now let's draw this point in a rectangular coordinate system using desmos graph calculator.

  

To determine

(c)

Plot given point in the rectangular coordinate system.

Answer to Problem 556RE

  

Explanation of Solution

Given information:

Ordered pair $(2,-3)$

Calculation:

Given ordered pairis $(2,-3)$. We must plot this point in a rectangular coordinate system.

The first number of the coordinate pair is $x-$ coordinate, and the second number is the $y-$ coordinate.

Since $x=2$, the point is to the right of the $y-$ axis. Also, since $y=-3$ the point is below the $x-$ axis. The point $(2,-3)$ is in Quadrant IV.

Now let's draw this point in a rectangular coordinate system using desmos graph calculator.

  

To determine

(d)

Plot given point in the rectangular coordinate system.

Answer to Problem 556RE

  

Explanation of Solution

Given information:

Ordered pair $(1,\frac{5}{2})$

Calculation:

Given an ordered pair $(1,\frac{5}{2})$. We must plot this point in a rectangular coordinate system.

The first number of the coordinate pair is $x-$ coordinate, and the second number is the $y-$ coordinate.

Since $x=1$, the point is to the right of the $y-$ axis. Also, since $y=\frac{5}{2}$ the point is above the $x-$ axis. The point $(1,\frac{5}{2})$ is in Quadrant I.

Now let's draw this point in a rectangular coordinate system using desmos graph calculator.