The set of complex numbers IS the set of all numbers of the form , where <em>a</em> and <em>b</em> are real numbers, and <em>i</em> is the imaginary unit defined as
, therefor the statement is correct.
Complex numbers can be seen as an extension of the set of all real numbers, and they have a wide range of aplications in many fields like Engineering, Physics, Mathematics and more. The most simple definition of a complex number, is that they are the sum of a real number (in this case <em>a</em>) and an imaginary number (in this case ).
Usually confusion arises in many students while studying complex numbers because the imaginary unit, <em>i</em>, isn't a number we can compute. The best way to see these numbers is as 2-dimensional numbers, meaning numbers that have 2 components (the idea is almost the same as that of a 2-dimensional vector). They are thoroughly used in Mechanical Engineer to solve for vibration problems, and in Electrical Engineering to compute the real and imaginary part of electric power.
<h3>Learn more</h3>Complex numbers, imaginary unit, real numbers
Answer:
The answer is
<h2>Step-by-step explanation:
The slope of a line given two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4, 2) and (6, 8)
The slope is
We have the final answer as
Hope this helps you