How do you plot $\left( { - 2,8} \right)$?

Hint: Given a coordinate. We have to plot the coordinate to the set of axes. First, we will draw the x and y-axis on the graph paper. Then, we will plot the coordinate by determining the value of x and y. The x value is equal to the distance of the point from the y-axis and the y value is plotted by taking distance from the x-axis.

Complete step-by-step solution:
We are given the coordinate $\left( { - 2,8} \right)$. First, draw the x and y-axis on the graph paper intersection at a $90^\circ $ angle.

Now determine the value of x and y from the ordered pair $\left( { - 2,8} \right)$
$ \Rightarrow x = - 2$
$ \Rightarrow y = 8$
Plot the x-point on the graph by moving the point $2$units to the left of y-axis. Then, for the y-coordinate move the point $8$ units in the upward direction from the x-axis.
The graph showing the coordinate is shown below:


Hence, the graph shows that the point lies in the second quadrant.

Note: In coordinate geometry, the rectangular coordinate system is divided into four regions by the set of axes. In the first region, the value of the x and y component of the ordered pair is positive. Then, in the second region, the value of x is negative but the value of y is positive. Then in the third region, the value of x and y are both negative. Then in the fourth region, the value of x is positive and the value of y is negative.