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Chapter 2: Problem 86

Solve each formula for the specified variable. $$ y=m x+b \text { for } x $$

Short Answer

Expert verified
x = \frac{y - b}{m}

Step by step solution

01

Identify the given equation

The given equation is: \[ y = mx + b \]We need to solve this equation for the variable \( x \).
02

Subtract \( b \) from both sides

To isolate \( x \), first subtract \( b \) from both sides of the equation. \[ y - b = mx \]
03

Divide both sides by \( m \)

Now, divide both sides by \( m \) to completely isolate \( x \). \[ x = \frac{y - b}{m} \]
04

Write the solution

The final solution for \( x \) is: \[ x = \frac{y - b}{m} \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Linear Equations
Linear equations are equations where each term is either a constant or the product of a constant and a single variable. They graph as straight lines on a coordinate plane. In our example, the equation \( y = mx + b\) is a standard form of a linear equation, where:

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