QQuestionMathematics
QuestionMathematics
What is the standard form of the equation $y=-\frac{3}{4} x+ 2$ ?
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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:: Understand Standard Form
The standard form of a linear equation is $$Ax + By = C$$, where A, B, and C are integers, and A ≥ 0.
Step 3:: Rearrange the Given Equation
Start with the original equation: $$y = -\frac{3}{4}x + 2
Step 4:: Move All Terms to the Left Side
y + \frac{3}{4}x = 2
Rearrange to get all terms on the left side of the equation:
Step 5:: Multiply Both Sides by 4 to Eliminate Fractions
4y + 3x = 8
Step 6:: Rearrange to Standard Form
Rearrange to $$3x + 4y = 8
Final Answer
The standard form of the equation y = -\frac{3}{4}x + 2 is 3x + 4y = 8.
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