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What is the slope of the line through (6,9) and (7,1) ? Choose 1 answer: (A) 8 (B) -8 (c) (1)/(8) (D) -(1)/(8)

What is the slope of the line through (6,9) (6,9) and (7,1) (7,1) ?\newlineChoose 11 answer:\newline(A) 88\newline(B) −8-8\newline(C) 18 \frac{1}{8} \newline(D) −18 -\frac{1}{8}

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Q. What is the slope of the line through (6,9) (6,9) and (7,1) (7,1) ?\newlineChoose 11 answer:\newline(A) 88\newline(B) −8-8\newline(C) 18 \frac{1}{8} \newline(D) −18 -\frac{1}{8}
  1. Identify slope formula: Identify the slope formula.\newlineThe slope of a line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by the formula:\newlineSlope = y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}
  2. Substitute given points: Substitute the given points into the slope formula.\newlineWe have the points (6,9)(6, 9) and (7,1)(7, 1), so x1=6x_1 = 6, y1=9y_1 = 9, x2=7x_2 = 7, and y2=1y_2 = 1.\newlineSlope = 1−97−6\frac{1 - 9}{7 - 6}
  3. Calculate change in y: Calculate the change in y y2−y1y_2 - y_1.\newlineChange in y = 1−9=−81 - 9 = -8
  4. Calculate change in x: Calculate the change in x x2−x1x_2 - x_1.\newlineChange in x = 7−6=17 - 6 = 1
  5. Calculate slope: Calculate the slope using the changes in yy and xx.Slope=−81=−8\text{Slope} = \frac{-8}{1} = -8

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