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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?\newline3x+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}

Full solution

Q. What is the slope of the line?\newline3x+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.\newline3-3x + 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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