Chapter 85, Problem 1AR

To determine

(A)

The point $\left(6,-8\right)$ on Cartesian plane.

Answer to Problem 1AR

The point $\left(6,-8\right)$ in Cartesian plane is shown in Figure $1$.

Explanation of Solution

Given:

The point is $\left(6,-8\right)$.

Calculation:

The ordered pair $\left(6,-8\right)$ represents a point which is $6$ units to the right of the origin in the direction of $x$ -axis and $8$ units below the origin in the direction of $y$ -axis.

The point $\left(6,-8\right)$ is shown below in Figure $1$.

Thus, the point $\left(6,-8\right)$ in Cartesian plane is shown in Figure $1$.

Conclusion:

The point $\left(6,-8\right)$ in Cartesian plane is shown in Figure $1$.

To determine

(B)

The point $\left(-3,9\right)$ on Cartesian plane.

Answer to Problem 1AR

The point $\left(-3,9\right)$ in Cartesian plane is shown in Figure $2$.

Explanation of Solution

Given:

The point is $\left(-3,9\right)$.

Calculation:

The ordered pair $\left(-3,9\right)$ represents a point which is $3$ units to the left of the origin in the direction of $x$ -axis and $9$ units above the origin in the direction of $y$ -axis.

The point $\left(-3,9\right)$ is shown below in Figure $2$.

Thus, the point $\left(-3,9\right)$ in Cartesian plane is shown in Figure $2$.

Conclusion:

The point $\left(-3,9\right)$ in Cartesian plane is shown in Figure $2$.

To determine

(c)

The point $\left(-2,0\right)$ on Cartesian plane.

Answer to Problem 1AR

The point $\left(-2,0\right)$ in Cartesian plane is shown in Figure $3$.

Explanation of Solution

Given:

The point is $\left(-2,0\right)$.

Calculation:

The ordered pair $\left(-2,0\right)$ represents a point which is $2$ units to the left of the origin in the direction of $x$ -axis.

The point $\left(-2,0\right)$ is shown below in Figure $3$.

Thus, the point $\left(-2,0\right)$ in Cartesian plane is shown in Figure $3$.

Conclusion:

The point $\left(-2,0\right)$ in Cartesian plane is shown in Figure $3$.

To determine

(D)

The point $\left(0,-8\right)$ on Cartesian plane.

Answer to Problem 1AR

The point $\left(0,-8\right)$ in Cartesian plane is shown in Figure $4$.

Explanation of Solution

Given:

The point is $\left(0,-8\right)$.

Calculation:

The ordered pair $\left(0,-8\right)$ represents a point which is $8$ units below the origin in the direction of $y$ -axis.

The point $\left(0,-8\right)$ is shown below in Figure $4$.

Thus, the point $\left(0,-8\right)$ in Cartesian plane is shown in Figure $4$.

Conclusion:

The point $\left(0,-8\right)$ in Cartesian plane is shown in Figure $4$.

To determine

(e)

The point $\left(-7,-7\right)$ on Cartesian plane.

Answer to Problem 1AR

The point $\left(-7,-7\right)$ in Cartesian plane is shown in Figure $5$.

Explanation of Solution

Given:

The point is $\left(-7,-7\right)$.

Calculation:

The ordered pair $\left(-7,-7\right)$ represents a point which is $7$ units to the left of the origin in the direction of $x$ -axis and $7$ units below the origin in the direction of $y$ -axis.

The point $\left(-7,-7\right)$ is shown below in Figure $5$.

Thus, the point $\left(-7,-7\right)$ in Cartesian plane is shown in Figure $5$.

Conclusion:

The point $\left(-7,-7\right)$ in Cartesian plane is shown in Figure $5$.

To determine

(f)

The point $\left(3,3\right)$ on Cartesian plane.

Answer to Problem 1AR

The point $\left(3,3\right)$ in Cartesian plane is shown in Figure $6$.

Explanation of Solution

Given:

The point is $\left(3,3\right)$.

Calculation:

The ordered pair $\left(3,3\right)$ represents a point which is $3$ units to the right of the origin in the direction of $x$ -axis and $3$ units above the origin in the direction of $y$ -axis.

The point $\left(3,3\right)$ is shown below in Figure $6$.

Thus, the point $\left(3,3\right)$ in Cartesian plane is shown in Figure $6$.

Conclusion:

The point $\left(3,3\right)$ in Cartesian plane is shown in Figure $6$.