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A line has a slope of 77 and includes the points (−2,2)(-2,2) and (−1,g)(-1,g). What is the value of gg?\newlineg=___g = \_\_\_

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Full solution

Q. A line has a slope of 77 and includes the points (−2,2)(-2,2) and (−1,g)(-1,g). What is the value of gg?\newlineg=___g = \_\_\_
  1. Set up slope equation: Use the slope formula to set up the equation. Slope = (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1). Here, slope = 77, (x1,y1)=(−2,2)(x_1, y_1) = (-2, 2), and (x2,y2)=(−1,g)(x_2, y_2) = (-1, g).\newlineCalculation: 7=(g−2)/(−1+2)7 = (g - 2) / (-1 + 2)
  2. Calculate slope: Simplify the denominator and solve for gg.\newlineCalculation: 7=g−217 = \frac{g - 2}{1}\newline7×1=g−27 \times 1 = g - 2\newlineg=9g = 9

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