Math Problem Statement

Rewrite the equation y = 7x + 8 in standard form.

Solution

The problem asks to rewrite the equation y=7x+8y = 7x + 8 in standard form, where the standard form of a linear equation is given as:

Ax+By=CAx + By = C

To convert y=7x+8y = 7x + 8 into this form:

  1. Start with the given equation: y=7x+8y = 7x + 8.
  2. Subtract 7x7x from both sides to move the xx-term to the left-hand side: 7x+y=8-7x + y = 8
  3. Now, the equation is in standard form Ax+By=CAx + By = C, where A=7A = -7, B=1B = 1, and C=8C = 8.

So, the standard form is:

7x+y=8-7x + y = 8

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you convert an equation into slope-intercept form from standard form?
  2. What is the difference between standard form and slope-intercept form?
  3. How can you graph a line from an equation in standard form?
  4. Why is it important for the GCF of AA, BB, and CC to be 1 in standard form?
  5. How would you rearrange the equation if B=0B = 0?

Tip: Always ensure that the coefficients AA, BB, and CC in standard form are integers for proper formatting.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Standard Form

Formulas

Ax + By = C

Theorems

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Suitable Grade Level

Grades 8-10