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A line with a slope of 88 passes through the points (3,g)(3,g) and (2,−1)(2,-1). What is the value of gg?\newlineg=___g = \_\_\_

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Q. A line with a slope of 88 passes through the points (3,g)(3,g) and (2,−1)(2,-1). 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)=(3,g)(x_1, y_1) = (3, g) and (x2,y2)=(2,−1)(x_2, y_2) = (2, -1).
  2. Substitute Known Values: Substitute the known values into the slope formula.\newlineSlope = 8=−1−g2−38 = \frac{-1 - g}{2 - 3}
  3. Simplify Equation: Simplify the equation. 8=(−1−g)−18 = \frac{(-1 - g)}{-1}
  4. Solve for g: Solve for g.\newline8=1+g8 = 1 + g\newlineg=8−1g = 8 - 1\newlineg=7g = 7

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