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A line with a slope of −4-4 passes through the points (7,8)(7,8) and (8,g)(8,g). What is the value of gg?\newlineg=___g = \_\_\_

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Q. A line with a slope of −4-4 passes through the points (7,8)(7,8) and (8,g)(8,g). What is the value of gg?\newlineg=___g = \_\_\_
  1. Identify formula for slope: Identify the formula for the slope between two points.\newlineThe slope formula is (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1). Here, (x1,y1)=(7,8)(x_1, y_1) = (7, 8) and (x2,y2)=(8,g)(x_2, y_2) = (8, g).
  2. Substitute known values: Substitute the known values into the slope formula.\newlineSlope = −4-4, so:\newline−4=g−88−7-4 = \frac{g - 8}{8 - 7}
  3. Solve for g: Solve for g.\newline−4=g−8-4 = g - 8\newlineg=−4+8g = -4 + 8\newlineg=4g = 4

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