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What is the slope of the line?

-3x+5y=2x+3y
Choose 1 answer:
(A) -1
(B) 
(5)/(2)
(c) 
-(5)/(2)
(D) 1

What is the slope of the line?\newline3x+5y=2x+3y-3x+5y=2x+3y\newlineChoose 11 answer:\newline(A) 1-1\newline(B) 52\frac{5}{2}\newline(C) 52-\frac{5}{2}\newline(D) 11

Full solution

Q. What is the slope of the line?\newline3x+5y=2x+3y-3x+5y=2x+3y\newlineChoose 11 answer:\newline(A) 1-1\newline(B) 52\frac{5}{2}\newline(C) 52-\frac{5}{2}\newline(D) 11
  1. Combine like terms: Combine like terms by moving the xx terms to one side and the yy terms to the other side.\newline5y3y=2x+3x5y - 3y = 2x + 3x
  2. Simplify equation: Simplify both sides of the equation. 2y=5x2y = 5x
  3. Divide by 22: Divide both sides by 22 to solve for yy.y=(52)xy = \left(\frac{5}{2}\right)x
  4. Identify slope: Now that the equation is in slope-intercept form, we can identify the slope as the coefficient of xx.\newlineThe slope of the line is 52\frac{5}{2}.

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