Mathematics
Grade9
Easy

Question

Line h passes through (3,0) and (7,6). Find the slope of the line perpendicular to h.

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

hintHint:

We know that product of slope of two perpendicular lines are -1. So to find the slope of perpendicular line first we find slope of h and then slope of perpendicular line.

The correct answer is: fraction numerator negative 2 over denominator 3 end fraction


    Line h passes through points (3,0) and (7,6).
    So, slope of line h, m = fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    =fraction numerator 6 minus 0 over denominator 7 minus 3 end fraction
    =space space space 6 over 4
equals 3 over 2
    So, slope of line perpendicular to h =fraction numerator negative 1 over denominator m end fraction
    =fraction numerator negative 2 over denominator 3 end fraction

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