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Find the slope of the line that passes through (2,11)(2, 11) and (6,10)(6, 10).\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 (2,11)(2, 11) and (6,10)(6, 10).\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: (2,11)(2, 11)\newlinePoint 22: (6,10)(6, 10)
  2. Use Slope Formula: Use the slope formula, which is (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1).\newlineSubstitute the coordinates into the formula:\newlineSlope = (10−11)/(6−2)(10 - 11) / (6 - 2)
  3. Perform Subtraction: Perform the subtraction in the numerator and the denominator.\newlineSlope = −14\frac{-1}{4}
  4. Simplify Fraction: Simplify the fraction if possible.\newlineThe fraction −14-\frac{1}{4} is already in its simplest form.

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