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A line has a slope of 99 and includes the points (8,−8)(8,-8) and (9,g)(9,g). What is the value of gg?\newlineg=___g = \_\_\_

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Q. A line has a slope of 99 and includes the points (8,−8)(8,-8) and (9,g)(9,g). What is the value of gg?\newlineg=___g = \_\_\_
  1. Points and Slope Relation: Points: (8,−8)(8, -8) and (9,g)(9, g)\newlineSlope: 99\newlineUse the slope formula to relate the points and the slope.\newlineSlope =y2−y1x2−x1= \frac{y_2 - y_1}{x_2 - x_1}\newline9=g−(−8)9−89 = \frac{g - (-8)}{9 - 8}
  2. Slope Calculation: 9=g+89−89 = \frac{g + 8}{9 - 8}\newlineSimplify the denominator.\newline9=g+819 = \frac{g + 8}{1}
  3. Denominator Simplification: 9=g+89 = g + 8\newlineSolve for gg by subtracting 88 from both sides.\newline9−8=g+8−89 - 8 = g + 8 - 8\newline1=g1 = g

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