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A line that includes the points (7,5)(7,5) and (8,s)(8,s) has a slope of −10-10. What is the value of ss?\newlines = ____

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Full solution

Q. A line that includes the points (7,5)(7,5) and (8,s)(8,s) has a slope of −10-10. What is the value of ss?\newlines = ____
  1. Understand the formula: Understand the formula for the slope of a line.\newlineThe slope mm of a line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}.
  2. Apply the slope formula: Apply the slope formula to the given points (7,5)(7,5) and (8,s)(8,s) with the slope of −10-10. We have m=−10m = -10, x1=7x_1 = 7, y1=5y_1 = 5, x2=8x_2 = 8, and y2=sy_2 = s. So, −10=s−58−7-10 = \frac{s - 5}{8 - 7}.
  3. Solve for s: Solve for s.\newline−10=s−51-10 = \frac{s - 5}{1}\newlineMultiply both sides by 11 to get rid of the denominator:\newline−10×1=s−5-10 \times 1 = s - 5\newline−10=s−5-10 = s - 5\newlineNow, add 55 to both sides to isolate ss:\newline−10+5=s-10 + 5 = s\newlines=−5s = -5

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