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What is the slope of the line? -3x+5y=2x+3y Choose 1 answer: (A) (5)/(2) (B) 1 (C) -1 (D) -(5)/(2)

What is the slope of the line?\newline−3x+5y=2x+3y-3x+5y=2x+3y\newlineChoose 11 answer:\newline(A) 52\frac{5}{2}\newline(B) 11\newline(C) −1-1\newline(D) −52-\frac{5}{2}

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Full solution

Q. What is the slope of the line?\newline−3x+5y=2x+3y-3x+5y=2x+3y\newlineChoose 11 answer:\newline(A) 52\frac{5}{2}\newline(B) 11\newline(C) −1-1\newline(D) −52-\frac{5}{2}
  1. Combine like terms: Combine like terms to isolate the y-term on one side of the equation.\newline−3-3x + 55y = 22x + 33y\newlineSubtract 33y from both sides to get:\newline55y - 33y = 22x + 33x
  2. Subtract 3y3y: Simplify both sides of the equation.2y=5x2y = 5x
  3. Simplify equation: Solve for yy by dividing both sides by 22.\newliney=52xy = \frac{5}{2}x
  4. Solve for yy: Identify the slope of the line.\newlineThe coefficient of xx in the equation y=52xy = \frac{5}{2}x is the slope of the line.\newlineSo, the slope is 52\frac{5}{2}.

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