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What is the slope of the line that passes through the points (-6,8) and (-9,7) ? Write your answer in simplest form. Answer Attempt 1 out of 2 Submit Answer

What is the slope of the line that passes through the points (−6,8) (-6,8) and (−9,7) (-9,7) ? Write your answer in simplest form.\newlineAnswer Attempt 11 out of 22\newlineSubmit Answer

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Q. What is the slope of the line that passes through the points (−6,8) (-6,8) and (−9,7) (-9,7) ? Write your answer in simplest form.\newlineAnswer Attempt 11 out of 22\newlineSubmit Answer
  1. Identify Slope Formula: To find the slope of the line that passes through two points, we use the slope formula: slope mm = y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}, where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are the coordinates of the two points.
  2. Plug in Coordinates: Let's plug in the coordinates of the two points into the slope formula. For the points (−6,8)(-6,8) and (−9,7)(-9,7), we have x1=−6x_1 = -6, y1=8y_1 = 8, x2=−9x_2 = -9, and y2=7y_2 = 7. So, the slope m=(7−8)/(−9−(−6))m = (7 - 8) / (-9 - (-6)).
  3. Perform Subtraction: Now, let's perform the subtraction in the numerator and the denominator. The slope m=−1−9+6m = \frac{-1}{-9 + 6}.
  4. Simplify Denominator: Simplify the denominator to get the slope m=−1−3m = \frac{-1}{-3}.
  5. Divide Numerator: Divide −1-1 by −3-3 to get the slope m=13m = \frac{1}{3}.
  6. Final Slope Calculation: The slope of the line that passes through the points (−6,8)(-6,8) and (−9,7)(-9,7) is 13\frac{1}{3}.

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