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A line that includes the points (−1,a)(-1,a) and (0,8)(0,8) has a slope of 11. What is the value of aa?\newlinea = ____

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Full solution

Q. A line that includes the points (−1,a)(-1,a) and (0,8)(0,8) has a slope of 11. What is the value of aa?\newlinea = ____
  1. Identify Points and Slope: Points: (−1,a)(-1, a) and (0,8)(0, 8)\newlineSlope: 11\newlineSelect the equation that represents the slope of the line.\newlineSlope =y2−y1x2−x1= \frac{y_2 - y_1}{x_2 - x_1}\newline1=8−a0−(−1)1 = \frac{8 - a}{0 - (-1)}
  2. Calculate Slope: 1=(8−a)(0−(−1))1 = \frac{(8 - a)}{(0 - (-1))}\newlineSimplify the right side of the equation.\newline1=(8−a)11 = \frac{(8 - a)}{1}
  3. Solve for aa: 1=8−a1 = 8 - a\newlineSolve for aa.\newline1=8−a1 = 8 - a\newlinea=8−1a = 8 - 1\newlinea=7a = 7

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