QQuestionMathematics
QuestionMathematics
Rewrite the following equation to solve for x: y=mx+b
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Answer
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Step 1:I'll solve this step-by-step, following the LaTeX formatting guidelines precisely:
Step 2:: Identify the given equation
y = mx + b
The standard linear equation is given as:
Step 3:: Isolate x by subtracting b from both sides
y - b = mx
Step 4:: Divide both sides by m to solve for x
\frac{y - b}{m} = x
Step 5:: Rearrange to standard form
x = \frac{y - b}{m}
Final Answer
Key Insights: - This process demonstrates algebraic manipulation to isolate x - The solution works when m ≠ 0 (to avoid division by zero) - m represents the slope of the line - b represents the y-intercept - The equation allows you to find x for any given y value on the line
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