Mathematics
Grade9
Easy

Question

The angle between the two lines is ________.

  1. 75o
  2. 60o
  3. 30o
  4. 90o

hintHint:

In this question, we have to find the measurement of the angle formed between the lines p and q where the coordinates of line p are (-2,0) and (1, 4) and the co-ordinates of q are (-1,9) and (7,3). Firstly we will calculate the slope of both the p and q. Further we will check the relation between the slopes of both the line, in that way we can get the angle formed.

The correct answer is: 90o


    The coordinates of line p are (-2,0) and (1, 4) and the co-ordinates of q are (-1,9) and (7,3).
    Slope of line p, m subscript 1
    equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
equals fraction numerator 4 minus 0 over denominator 1 minus left parenthesis negative 2 right parenthesis end fraction
equals 4 over 3
    Slope of line q, m subscript 2
    equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
equals fraction numerator 3 minus 9 over denominator 7 minus left parenthesis negative 1 right parenthesis end fraction
equals fraction numerator negative 6 over denominator 8 end fraction
equals fraction numerator negative 3 over denominator 4 end fraction
    As m subscript 1 equals fraction numerator negative 1 over denominator m subscript 2 end fraction , the lines are perpendicular.
    So. the angle formed is 90 degree angle.

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