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2y+4=x+y+6 Which of the following is the graph of the given equation in the xy-plane? Choose 1 answer: (A) (B) (C)

2y+4=x+y+6 2 y+4=x+y+6 \newlineWhich of the following is the graph of the given equation in the xy x y -plane?\newlineChoose 11 answer:\newline(A)\newline(B)\newline(C)

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Full solution

Q. 2y+4=x+y+6 2 y+4=x+y+6 \newlineWhich of the following is the graph of the given equation in the xy x y -plane?\newlineChoose 11 answer:\newline(A)\newline(B)\newline(C)
  1. Isolate y: First, let's isolate y on one side of the equation.\newlineSubtract y from both sides to get: 2y−y+4=x+62y - y + 4 = x + 6
  2. Combine like terms: Now, combine like terms on the left side: y+4=x+6y + 4 = x + 6
  3. Subtract 44: Next, subtract 44 from both sides to solve for yy: y=x+6−4y = x + 6 - 4
  4. Simplify the equation: Simplify the right side: y=x+2y = x + 2\newlineThis is the equation of a straight line with a slope of 11 and a y-intercept of 22.

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