Math Problem Statement

Solve for b in the equation y = mx + b

Solution

To solve for bb in the equation y=mx+by = mx + b, follow these steps:

  1. Start with the given equation: y=mx+by = mx + b

  2. To isolate bb, subtract mxmx from both sides of the equation: ymx=by - mx = b

So, the correct answer is: b=ymxb = y - mx

This corresponds to the second option in the image.

Would you like more details on this solution or have any other questions? Here are some related questions you might find useful:

  1. How do you solve for xx in the equation y=mx+by = mx + b?
  2. What is the slope-intercept form of a linear equation?
  3. How does the value of bb affect the graph of a linear equation?
  4. Can mm and bb be negative in a linear equation? What would that mean graphically?
  5. What are some real-world examples where linear equations like y=mx+by = mx + b are used?

Tip: When isolating a variable, always perform the same operation on both sides of the equation to maintain equality.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

y = mx + b

Theorems

Basic Linear Equation Solving

Suitable Grade Level

Grades 8-10