Mathematics
Grade9
Easy

Question

The slope of the line that passes through (2, 6) and (7, 5) is ______.

  1. -5
  2. 5
  3. 1 fifth
  4. fraction numerator negative 1 over denominator 5 end fraction

hintHint:

Slope of line passing through two points is given as fraction numerator y 2 space minus space y 1 over denominator x 2 space minus space x 1 end fraction

The correct answer is: fraction numerator negative 1 over denominator 5 end fraction



    Slope of line passing through two points (x1,y1) and (x2,y2) is given as fraction numerator y 2 space minus space y 1 over denominator x 2 space minus space x 1 end fraction
    So, (x1, y1) = (2, 6) and (x2, y2) = (7, 5)
    Now, Substitute (x1, y1) and (x2, y2) with their given values, we get,
    m space equals space fraction numerator 5 minus 6 over denominator 7 minus 2 end fraction space equals space minus 1 fifth
    Thus, the slope of the line that passes through (2, 6) and (7, 5) is negative 1 fifth

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