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Find the slope of the line that passes through (1,1)(1, 1) and (8,9)(8, 9).\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 (1,1)(1, 1) and (8,9)(8, 9).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____\_\_\_\_\_
  1. Identify Coordinates: Identify the coordinates of the two points.\newlinePoint 11: (x1,y1)=(1,1)(x_1, y_1) = (1, 1)\newlinePoint 22: (x2,y2)=(8,9)(x_2, y_2) = (8, 9)\newlineWe will use these coordinates to calculate the slope of the line.
  2. Recall Slope Formula: Recall the formula for the slope mm of a line given two points: m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}. We will plug in the coordinates of our two points into this formula.
  3. Substitute Coordinates: Substitute the coordinates into the slope formula.\newlinem=9−18−1m = \frac{9 - 1}{8 - 1}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator.\newlinem=87m = \frac{8}{7}
  5. Check Fraction: Check if the fraction can be simplified.\newlineThe fraction 87\frac{8}{7} is already in its simplest form, so it cannot be simplified further.

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