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Find the slope of the line that passes through (1,5)(1, 5) and (3,6)(3, 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 (3,6)(3, 6).\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)=(1,5)(x_1, y_1) = (1, 5)\newlinePoint 22: (x2,y2)=(3,6)(x_2, y_2) = (3, 6)\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 the coordinates of the two points into this formula to find the slope.
  3. Substitute Coordinates: Substitute the coordinates into the slope formula. m=6−53−1m = \frac{6 - 5}{3 - 1}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator.\newlinem=12m = \frac{1}{2}
  5. Simplify Fraction: Simplify the fraction if necessary.\newlineIn this case, the fraction 12\frac{1}{2} is already in its simplest form.

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