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A line that includes the points (4,8)(4,8) and (6,g)(6,g) has a slope of −9-9. What is the value of gg?\newlineg=g = ____

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Full solution

Q. A line that includes the points (4,8)(4,8) and (6,g)(6,g) has a slope of −9-9. What is the value of gg?\newlineg=g = ____
  1. Calculate Slope: Points: 4,84, 8 and 6,g6, g. Slope: (-9\). Use the slope formula: Slope = (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1).
  2. Simplify Denominator: Simplify the denominator: 6−4=26 - 4 = 2. So, −9=g−82-9 = \frac{g - 8}{2}.
  3. Isolate gg: Multiply both sides by 22 to isolate gg: −18=g−8-18 = g - 8.
  4. Solve for g: Add 88 to both sides to solve for gg: g=−18+8g = -18 + 8.

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