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Find the slope of the line that passes through (10,10)(10, 10) and (3,5)(3, 5).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____

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Full solution

Q. Find the slope of the line that passes through (10,10)(10, 10) and (3,5)(3, 5).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Use Formula: To find the slope ( extit{m}) of a line that passes through two points extit{( extit{x}_1, extit{y}_1)} and extit{( extit{x}_2, extit{y}_2)}, use the formula extit{m} = extit{( extit{y}_2 - extit{y}_1) / ( extit{x}_2 - extit{x}_1)}.
  2. Plug in Coordinates: Plug in the coordinates of the two points into the formula. So, m=5−103−10m = \frac{5 - 10}{3 - 10}.
  3. Calculate Differences: Calculate the differences: m=−5−7.m = \frac{-5}{-7}.
  4. Simplify Fraction: Simplify the fraction: m=57m = \frac{5}{7}.

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