Math Problem Statement

Write the equation y = 4x - 13 in standard form.

Solution

The equation provided in the image is y=4x13y = 4x - 13.

To rewrite this equation in standard form, the goal is to have all terms on one side of the equation, with the variables xx and yy on the left-hand side and the constant on the right-hand side.

Here’s how to do that:

  1. Subtract 4x4x from both sides to move it to the left side of the equation: y4x=13y - 4x = -13

  2. Now, rearrange the terms to match the standard form Ax+By=CAx + By = C: 4x+y=13-4x + y = -13

Thus, the equation in standard form is: 4x+y=13-4x + y = -13

Let me know if you'd like further details or explanations!

Related questions:

  1. How do you convert an equation from slope-intercept form to standard form?
  2. What are the conditions for an equation to be considered in standard form?
  3. How would the process change if there was a fraction in the equation?
  4. Can you graph the equation before and after converting to standard form?
  5. What do the coefficients AA, BB, and CC represent in standard form?

Tip:

Always check if the coefficients in the standard form can be simplified or if they need to be positive. Sometimes, the standard form is written with a positive AA.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Standard form: Ax + By = C

Theorems

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Suitable Grade Level

Grades 8-10