Convert Y = 6x - 4 To Standard Form

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Converting an equation to standard form is a crucial skill in algebra, and I'm happy to guide you through it.

The given equation is Y = 6x - 4. To convert it to standard form, we need to follow a specific procedure.

What is Standard Form?

Standard form, also known as the general form, is a way of writing a linear equation in the form Ax + By = C, where A, B, and C are integers, and A and B are not both zero. The standard form is useful for graphing linear equations and finding the x-intercept and y-intercept.

Converting Y = 6x - 4 to Standard Form

To convert the equation Y = 6x - 4 to standard form, we need to move the term with the variable (6x) to the left side of the equation and the constant term (-4) to the right side. We can do this by adding 4 to both sides of the equation.

Y = 6x - 4 Y + 4 = 6x

Rearranging the Equation

Now, we need to rearrange the equation to get it in the standard form. We can do this by subtracting 6x from both sides of the equation.

Y + 4 - 6x = 0 -6x + Y + 4 = 0

Standard Form Equation

The equation is now in standard form: -6x + Y + 4 = 0. This equation is in the form Ax + By = C, where A = -6, B = 1, and C = 4.

Key Takeaways

• The standard form of a linear equation is Ax + By = C.
• To convert an equation to standard form, move the term with the variable to the left side and the constant term to the right side.
• Rearrange the equation to get it in the standard form.

I hope this explanation helped you understand how to convert the equation Y = 6x - 4 to standard form. If you have any questions or need further clarification, please don't hesitate to ask.

Putting it all Together

Here's a summary of the steps to convert Y = 6x - 4 to standard form:

1. Move the term with the variable (6x) to the left side of the equation.
2. Move the constant term (-4) to the right side of the equation.
3. Rearrange the equation to get it in the standard form.

By following these steps, you can convert any linear equation to standard form.

Conclusion

Converting an equation to standard form is a crucial skill in algebra. By following the steps outlined in this article, you can convert any linear equation to standard form. Remember to move the term with the variable to the left side, move the constant term to the right side, and rearrange the equation to get it in the standard form.

Next Steps

Now that you've learned how to convert an equation to standard form, it's time to practice. Try converting different linear equations to standard form and see how it works.

If you have any questions or need further clarification, please don't hesitate to ask. You can also share this article with your friends and classmates who may need help with converting equations to standard form.