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Find the slope of the line that passes through (6,3)(6, 3) and (2,4)(2, 4).\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 (6,3)(6, 3) and (2,4)(2, 4).\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: Point 11 (x1,y1)=(6,3)(x_1, y_1) = (6, 3) and Point 22 (x2,y2)=(2,4)(x_2, y_2) = (2, 4).
  2. Use Slope Formula: Use the slope formula: slope mm = y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}. Plug in the values: m=4−32−6m = \frac{4 - 3}{2 - 6}.
  3. Calculate Differences: Calculate the difference in y-coordinates and x-coordinates: y2−y1=4−3=1y_2 - y_1 = 4 - 3 = 1; x2−x1=2−6=−4x_2 - x_1 = 2 - 6 = -4.
  4. Simplify Calculation: Simplify the slope calculation: m=1−4=−14m = \frac{1}{-4} = -\frac{1}{4}.

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