Y = 3x (2,6) What Does This Mean Please Help And Explain To A 6th Grader

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Understanding the Equation: y = 3x (2,6)

What is an Equation?

An equation is a statement that says two things are equal. It's like a balance scale where one side has a certain value, and the other side has the same value. In math, we use equations to solve problems and find the value of a variable.

What is the Equation y = 3x?

The equation y = 3x is a simple linear equation. It means that the value of y is equal to 3 times the value of x. For example, if x is 2, then y would be 3 times 2, which is 6.

What is the (2,6) Part?

The (2,6) part is called a point. It's like a coordinate on a map. In this case, the point (2,6) means that when x is 2, y is 6. It's like a special case of the equation.

Let's Break it Down

Imagine you have a graph with x and y axes. The x-axis is like a number line, and the y-axis is like another number line. When you plot a point on the graph, it's like marking a spot on the number line.

In this case, the equation y = 3x means that for every value of x, the corresponding value of y is 3 times x. So, if you plot the point (2,6) on the graph, it means that when x is 2, y is 6.

How Does it Work?

Let's try some examples:

  • If x is 1, then y would be 3 times 1, which is 3.
  • If x is 4, then y would be 3 times 4, which is 12.
  • If x is 0, then y would be 3 times 0, which is 0.

As you can see, the equation y = 3x is a simple linear equation that means y is equal to 3 times x. The (2,6) part is a special case of the equation, where x is 2 and y is 6.

Graphing the Equation

If you were to graph the equation y = 3x, it would look like a straight line that goes up from left to right. The point (2,6) would be a special point on the line, where x is 2 and y is 6.

Real-World Applications

The equation y = 3x has many real-world applications. For example:

  • If you have a recipe that calls for 3 times the amount of sugar as flour, and you use 2 cups of flour, you would need 3 times 2 cups of sugar, which is 6 cups.
  • If you have a savings account that earns 3 times the interest rate as a different account, and the other account earns 2%, you would earn 3 times 2%, which is 6%.

Conclusion

The equation y = 3x (2,6) is a simple linear equation that means y is equal to 3 times x. The (2,6) part is a special case of the equation, where x is 2 and y is 6. Understanding this equation can help you solve problems and make sense of the world around you.

Key Takeaways

  • An equation is a statement that says two things are equal.
  • The equation y = 3x means y is equal to 3 times x.
  • The (2,6) part is a special case of the equation, where x is 2 and y is 6.
  • The equation y = 3x has many real-world applications.

Practice Problems

  1. If x is 5, what is the value of y?
  2. If x is 0, what is the value of y?
  3. If x is 10, what is the value of y?

Answers

  1. y = 3(5) = 15
  2. y = 3(0) = 0
  3. y = 3(10) = 30