Math Problem Statement

Rewrite the equation y = 4x + 3 in standard form.

Solution

The equation in the image is y=4x+3y = 4x + 3, and the task is to rewrite it in standard form.

The standard form of a linear equation is:

Ax+By=CAx + By = C

Where:

  • AA, BB, and CC are integers.
  • AA is typically positive.

To rewrite y=4x+3y = 4x + 3 in standard form, follow these steps:

  1. Start with the equation:
    y=4x+3y = 4x + 3

  2. Subtract 4x4x from both sides to move the xx-term to the left side:
    4x+y=3-4x + y = 3

  3. Multiply the entire equation by 1-1 (if necessary) to make the xx-term positive:
    4xy=34x - y = -3

Thus, the equation in standard form is:

4xy=34x - y = -3

Would you like more details or have any other questions?

Here are 5 related questions:

  1. How do you convert an equation from slope-intercept form to standard form?
  2. What is the significance of standard form in linear equations?
  3. Can any linear equation be written in standard form?
  4. Why is it important for AA in the standard form to be positive?
  5. What are the different forms of a linear equation?

Tip: Always check for simplification opportunities when converting to standard form!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Standard form of a linear equation: Ax + By = C

Theorems

-

Suitable Grade Level

Grades 8-10