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

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

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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) .\newline□\square
  1. Identify Points: Identify the given points.\newlineWe have two points: Point 11 (x1,y1)=(6,−5)(x_1, y_1) = (6, -5) and Point 22 (x2,y2)=(−8,8)(x_2, y_2) = (-8, 8).\newlineWe will use these points to calculate the slope of the line.
  2. Use Slope Formula: Use the slope formula.\newlineThe slope mm 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:\newlinem=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}
  3. Plug in Values: Plug in the values from the points into the slope formula.\newlinem=8−(−5)−8−6m = \frac{8 - (-5)}{-8 - 6}
  4. Simplify Numerator and Denominator: Simplify the numerator and the denominator.\newlinem=8+5−8−6m = \frac{8 + 5}{-8 - 6}\newlinem=13−14m = \frac{13}{-14}
  5. Simplify Fraction: Simplify the fraction to get the slope. \newlinem=−1314m = -\frac{13}{14}\newlineThis is the slope of the line containing the points (6,−5)(6, -5) and (−8,8)(-8, 8).

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