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Find the slope of the line that passes through (1,5)(1, 5) and (10,6)(10, 6).\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 (1,5)(1, 5) and (10,6)(10, 6).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Use Slope Formula: To find the slope mm of a line that passes through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2), use the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}.
  2. Plug in Coordinates: Plug in the coordinates of the two points into the slope formula. So, m=6−510−1m = \frac{6 - 5}{10 - 1}.
  3. Calculate y-Value Difference: Calculate the difference in the y-values, which is 6−5=16 - 5 = 1.
  4. Calculate x-Value Difference: Calculate the difference in the x-values, which is 10−1=910 - 1 = 9.
  5. Divide to Find Slope: Now divide the difference in y-values by the difference in x-values to get the slope: m=19m = \frac{1}{9}.

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