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Function A is a linear function whose graph includes the points (−8,−21)(-8,-21) and (8,−7)(8,-7). \newlineWhich of the following functions has the same slope as Function A? \newlineChoices: \newline(A) y=78x+14y = \frac{7}{8}x + 14 \newline(B) y=−14x+78y = -14x + \frac{7}{8} \newline(C) y=14x−78y = 14x - \frac{7}{8} \newline(D) y=−78x−14y = -\frac{7}{8}x - 14

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Q. Function A is a linear function whose graph includes the points (−8,−21)(-8,-21) and (8,−7)(8,-7). \newlineWhich of the following functions has the same slope as Function A? \newlineChoices: \newline(A) y=78x+14y = \frac{7}{8}x + 14 \newline(B) y=−14x+78y = -14x + \frac{7}{8} \newline(C) y=14x−78y = 14x - \frac{7}{8} \newline(D) y=−78x−14y = -\frac{7}{8}x - 14
  1. Calculate slope Function A: Calculate the slope of Function A using the points (−8,−21)(-8,-21) and (8,−7)(8,-7).Slope(m)=y2−y1x2−x1=−7−(−21)8−(−8)=1416=78Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-7 - (-21)}{8 - (-8)} = \frac{14}{16} = \frac{7}{8}.
  2. Compare calculated slope: Compare the calculated slope with the slopes of the given choices.\newlineChoice (A) has a slope of 78\frac{7}{8}, which matches the calculated slope.
  3. Verify other choices: Verify that no other choices have the same slope. Choices (B), (C), and (D) do not have a slope of 78\frac{7}{8}.

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