−2x + 3y = 6In the xy-plane, the graph of which of the following equations is perpendicular to the graph of the equation above?a)3x + 2y = 6b)3x + 4y = 6c)2x + 4y = 6d)2x + 6y = 3Correct answer is option 'A'. Can you explain this answer?

Question

&minus;2x + 3y = 6In the xy-plane, the graph of which of the following equations is perpendicular to the graph of the equation above?a)3x + 2y = 6b)3x + 4y = 6c)2x + 4y = 6d)2x + 6y = 3Correct answer is option 'A'. Can you explain this answer?

Answer

A data structure is a way of organizing and storing data in a computer so that it can be accessed and manipulated efficiently. It provides a way to organize and store data in a way that allows for efficient searching, insertion, deletion, and retrieval operations.

There are various types of data structures, each with its own advantages and disadvantages. Some common data structures include arrays, linked lists, stacks, queues, trees, and graphs.

Data structures are an important concept in computer science because they determine how efficiently algorithms can operate on the data. By choosing the right data structure for a particular problem, programmers can optimize the performance of their code.

In addition to their efficiency benefits, data structures can also help to improve code readability and maintainability. By using appropriate data structures, programmers can make their code more understandable and easier to maintain and debug.

Overall, data structures play a crucial role in computer science and programming, as they provide a foundation for efficient and organized data storage and manipulation.

Answer

The equation −2x + 3y = 6 can be rewritten in the slope-intercept form as follows:

So the slope of the graph of the given equation is 2/3. In the xy-plane, when two nonvertical lines are perpendicular, the product of their slopes is −1. So, if m is the slope of a line perpendicular to the line with equation

which yields m =

Of the given choices, only the equation in choice A can be rewritten in the form

b , for some constant b. Therefore, the graph of the equation in choice A is perpendicular to the graph of the given equation.
Choices B, C, and D are incorrect because the graphs of the equations in these choices have slopes, respectively, of

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