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A line has a slope of 88 and includes the points (−5,d)(-5,d) and (−3,8)(-3,8). What is the value of dd?\newlined=d = ____

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Full solution

Q. A line has a slope of 88 and includes the points (−5,d)(-5,d) and (−3,8)(-3,8). What is the value of dd?\newlined=d = ____
  1. Identify formula for slope: Identify the formula to use for slope between two points.\newlineThe slope formula is (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1). Here, we know the slope is 88, and the points are (−5,d)(-5, d) and (−3,8)(-3, 8).
  2. Substitute values into formula: Substitute the known values into the slope formula. Slope = 8=8−d−3+58 = \frac{8 - d}{-3 + 5}
  3. Simplify denominator and solve: Simplify the denominator and solve for dd.8=8−d28 = \frac{8 - d}{2}Multiply both sides by 22 to clear the fraction:16=8−d16 = 8 - d
  4. Rearrange equation to solve: Rearrange the equation to solve for dd.d=8−16d = 8 - 16d=−8d = -8

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