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What is the slope of the line? 2x+4y=6x-y Choose 1 answer: (A) (2)/(3) (B) (3)/(2) (C) (4)/(5) (D) (5)/(4)

What is the slope of the line?\newline2x+4y=6x−y2x+4y=6x-y\newlineChoose 11 answer:\newline(A) 23\frac{2}{3}\newline(B) 32\frac{3}{2}\newline(C) 45\frac{4}{5}\newline(D) 54\frac{5}{4}

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Full solution

Q. What is the slope of the line?\newline2x+4y=6x−y2x+4y=6x-y\newlineChoose 11 answer:\newline(A) 23\frac{2}{3}\newline(B) 32\frac{3}{2}\newline(C) 45\frac{4}{5}\newline(D) 54\frac{5}{4}
  1. Rearrange equation into slope-intercept form: First, we need to rearrange the equation into slope-intercept form, which is y=mx+by = mx + b, where mm is the slope.2x+4y=6x−y2x + 4y = 6x - y
  2. Isolate the y term: Subtract 2x2x from both sides to start isolating the y term.\newline4y+y=6x−2x4y + y = 6x - 2x
  3. Combine like terms: Combine like terms on both sides of the equation. 5y=4x5y = 4x
  4. Solve for y: Divide both sides by 55 to solve for y.y=(45)xy = \left(\frac{4}{5}\right)x
  5. Identify the slope: Now that the equation is in slope-intercept form, we can identify the slope.\newlineThe slope mm is the coefficient of xx, which is 45\frac{4}{5}.

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