Rule of correspondence question.

  • Thread starter davie08
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In summary, to find the rule of correspondence for the linear function f, given the points (3, -1) and (2, 3), you can find the slope first and then use the point-slope form to determine the equation. The answer is f(x) = -4x + 11, and it does not matter which point you choose to use in the equation.
  • #1
davie08
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Homework Statement


find a rule of correspondence for the linear function f whose graph contains the given points.

(3, -1) and (2, 3)

Homework Equations





The Attempt at a Solution



would you try to find the slope first and then after finding that I'm unsure of what to do.




the answer is f(x)= -4x + 11
 
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  • #2
There are several ways of determining the equation of a line. The method you choose depends on what information you have. In this case, you're given two points, so you could find the slope. Now the easiest way to find the equation is to use the point-slope form.

[tex]y-y_0 = m(x-x_0)[/tex]

Just choose one of the points to use as (x0, y0) and plug your slope in and simplify. You might want to try it with both points to see that it doesn't make a difference which one you choose.
 
  • #3
thanks.
 

What is the "Rule of Correspondence"?

The "Rule of Correspondence" is a fundamental principle in science that states there is a correspondence between the patterns and processes observed in the natural world and the laws and theories used to explain them. This means that scientific theories and laws must accurately reflect and explain the natural phenomena they are meant to describe.

How does the "Rule of Correspondence" apply to the scientific method?

The "Rule of Correspondence" is a crucial aspect of the scientific method as it ensures that scientific theories and laws are based on empirical evidence and accurately represent the natural world. This means that when conducting experiments and making observations, scientists must ensure that their results align with the established laws and theories in their field of study.

What happens if a scientific theory or law does not follow the "Rule of Correspondence"?

If a scientific theory or law does not follow the "Rule of Correspondence", it means that it is not an accurate representation of the natural world and must be revised or discarded. This is why the scientific method relies on continuous testing and refining of theories and laws to ensure they align with the observed patterns and processes in nature.

Can the "Rule of Correspondence" be applied to all scientific disciplines?

Yes, the "Rule of Correspondence" applies to all scientific disciplines as it is a fundamental principle of the scientific method. Whether studying biology, physics, chemistry, or any other field of science, the observed patterns and processes must correspond with the established laws and theories in order to be considered valid and accurate.

How does the "Rule of Correspondence" help advance scientific knowledge?

The "Rule of Correspondence" plays a crucial role in advancing scientific knowledge by ensuring that theories and laws are based on empirical evidence and accurately reflect the natural world. By continuously testing and refining these theories and laws, scientists can uncover new information and make new discoveries, leading to a deeper understanding of the natural world and its processes.

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