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Find the slope of the line that passes through (6,4)(6, 4) and (10,1)(10, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

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Full solution

Q. Find the slope of the line that passes through (6,4)(6, 4) and (10,1)(10, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
  1. Identify Coordinates: Identify the coordinates of the two points.\newlinePoint 11: (6,4)(6, 4)\newlinePoint 22: (10,1)(10, 1)
  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 = (1−4)/(10−6)(1 - 4) / (10 - 6)
  3. Perform Subtraction: Perform the subtraction in the numerator and the denominator.\newlineSlope = −34\frac{-3}{4}
  4. Simplify Fraction: Simplify the fraction if possible.\newlineThe fraction −34-\frac{3}{4} is already in its simplest form.

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