Question

Plot the given points in a coordinate plane.

$\left(0,5\right),\left(-1,0\right),\left(-1,-2\right),\left(\frac{1}{2},\frac{2}{3}\right)$

Short answer

The points in the Cartesian plane are represented below.

Step-by-step solution

Step 1. Apply the concept of the Cartesian Plane.

The Cartesian plane is divided into four quadrants. Numbers on the right of zero are positive, on the left of zero are negative. Numbers above zero on the vertical line are positive and numbers below 0 are negative. Each pair of points in the coordinate plane is represented as an ordered pair $\left(x,y\right)$ where the first element is the x-coordinate and the second element is the y-coordinate. The point $\left(x,y\right)$ denote it is x units on thex-axis and y units on they-axisand marked accordingly.

Step 2. Apply the concept of Quadrants.

The Cartesian plane is divided into four quadrants.

The coordinates in Quadrant I are of the form $\left(x,y\right)$ where both x and y are positive.

The coordinates in Quadrant II are of the form $\left(-x,y\right)$ where x is negative and y is positive.

The coordinates in Quadrant III are of the form $\left(-x,-y\right)$ where x and y are negative.

The coordinates in Quadrant IV are of the form $\left(x,-y\right)$ where x is positive and y is negative.

Step 3. Plot the coordinates.

Consider the provided coordinates $\left(0,5\right),\left(-1,0\right),\left(-1,-2\right),\left(\frac{1}{2},\frac{2}{3}\right)$

The coordinate$\left(0,5\right)$ lies on the positive y-axis.

The coordinate$\left(-1,0\right)$ lies on the negative x-axis.

The coordinate$\left(-1,-2\right)$ lies in the third quadrant.

The coordinate$\left(\frac{1}{2},\frac{2}{3}\right)$ lies in the first quadrant.

Plot the points on the Cartesian plane.