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Solve the equation \( y=m x+b \) for \( b \). Answer in the form \( b=\ldots \)

Ask by Donnelly Gordon. in the United States
Nov 11,2024

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\( b = y - mx \)

Solución

To solve the equation \( y = mx + b \) for \( b \), we can isolate \( b \) on one side of the equation. Starting with the original equation: \[ y = mx + b \] We can subtract \( mx \) from both sides: \[ y - mx = b \] Now, we can express \( b \) as: \[ b = y - mx \] Thus, the solution for \( b \) is: \[ b = y - mx \]

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To solve the equation \( y = mx + b \) for \( b \), we need to isolate \( b \) on one side of the equation. We do this by subtracting \( mx \) from both sides: \[ b = y - mx \] Now, we have \( b \) expressed in terms of \( y \) and \( mx \). So, the final answer is: \[ b = y - mx \]

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