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Function AA is a linear function.\newlineWhich of the following functions has the same yy-intercept as Function AA?\newlineChoices:\newline(A)y=5x4y = -5x - 4\newline(B)y=5x+4y = 5x + 4\newline(C)y=4x5y = -4x - 5\newline(D)y=4x+5y = 4x + 5

Full solution

Q. Function AA is a linear function.\newlineWhich of the following functions has the same yy-intercept as Function AA?\newlineChoices:\newline(A)y=5x4y = -5x - 4\newline(B)y=5x+4y = 5x + 4\newline(C)y=4x5y = -4x - 5\newline(D)y=4x+5y = 4x + 5
  1. Identify Function A: Function A has a yy-intercept we don't know, but we're looking for a function with the same yy-intercept.
  2. Find y-intercept definition: The y-intercept is the value of yy when xx is 00, so it's the constant term in the equation y=mx+by = mx + b.
  3. Analyze constant terms: Look at the constant term in each choice to find the yy-intercept.
  4. Determine y-intercepts: (A) has a y-intercept of 4-4, (B) has a y-intercept of 44, (C) has a y-intercept of 5-5, and (D) has a y-intercept of 55.
  5. Compare with Function A: We don't know the yy-intercept of Function A, so we can't determine which function has the same yy-intercept.

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