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The points (−8,−10)(-8,-10) and (−9,n)(-9,n) fall on a line with a slope of −9-9. What is the value of nn?\newlinen=___n = \_\_\_

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Q. The points (−8,−10)(-8,-10) and (−9,n)(-9,n) fall on a line with a slope of −9-9. What is the value of nn?\newlinen=___n = \_\_\_
  1. Calculate Slope: Points: (−8,−10)(-8, -10) and (−9,n)(-9, n)\newlineSlope: −9-9\newlineUse the slope formula to relate the points and the slope.\newlineSlope = y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}\newline−9=n−(−10)−9−(−8)-9 = \frac{n - (-10)}{-9 - (-8)}
  2. Simplify Equation: −9=n−(−10)−9−(−8)-9 = \frac{n - (-10)}{-9 - (-8)}\newlineSimplify the right side of the equation.\newline−9=n+10−9+8-9 = \frac{n + 10}{-9 + 8}\newline−9=n+10−1-9 = \frac{n + 10}{-1}
  3. Isolate nn: −9=n+10−1-9 = \frac{n + 10}{-1}\newlineMultiply both sides by −1-1 to isolate n+10n + 10.\newline−9×−1=n+10−1×−1-9 \times -1 = \frac{n + 10}{-1} \times -1\newline9=n+109 = n + 10
  4. Solve for nn: 9=n+109 = n + 10 Solve for nn by subtracting 1010 from both sides. 9−10=n+10−109 - 10 = n + 10 - 10 −1=n-1 = n

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