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Find the slope of the line containing the points (6,−5)(6,-5) and (−8,8)(-8,8).

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Full solution

Q. Find the slope of the line containing the points (6,−5)(6,-5) and (−8,8)(-8,8).
  1. Identify Slope Formula: To find the slope of the line containing two points, we use the slope formula, which is (y2−y1)/(x2−x1)(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 points into the slope formula. For point (6,−5)(6,-5), let's call it (x1,y1)(x_1, y_1), and for point (−8,8)(-8,8), let's call it (x2,y2)(x_2, y_2). So, slope m=8−(−5)−8−6m = \frac{8 - (-5)}{-8 - 6}.
  3. Perform Subtraction: Now, let's perform the subtraction in the numerator and the denominator.\newlinem=(8+5)/(−8−6)m = (8 + 5) / (-8 - 6).\newlinem=13/(−14)m = 13 / (-14).
  4. Simplify Fraction: We simplify the fraction to get the slope of the line. m=−1314m = -\frac{13}{14}.

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