Question

How do you plot $- 6i$ on a complex plane?

Answer 1

Here in this question we have to plot the graph for the given points. Here we have a complex number. They have given only one value of x and y. Hence by considering the points we plot the graph for the given question. hence the solution is obtained for the given question.

Complete step-by-step solution:
Here in this question, we have to plot the graph for the given function. A graph of a function is a set of ordered pairs and it is represented as $y = f(x)$, where x and f(x) are real numbers. These pairs are in the form of cartesian form and the graph is the two-dimensional graph.
Here the given number is in the form of a complex number. the general form of complex numbers is defined as $x + iy$. When we compare the general and given complex numbers. the value of x is 0 and the value of y is -6.
Usually the point is generally represented as $(x,y)$. The first term represents the x value and the second term represents the y value. Here we have to plot the graph for the points $(0, - 6)$. Here when the x value is 0, then the value of y is -6. . From the origin of a graph we have to move 6 steps downwards for the point (0, -6).
Therefore the graph for the points is plotted as shown below:

Note: The graph is plotted x-axis versus y axis. The graph is two dimensional. By the equation of a graph, we can plot the graph by assuming the value of x. We can’t assume the value of y. because the value of y depends on the value of x. hence, we have plotted the graph.