Mathematics
Grade-8
Easy

Question

text  The slope of the line joining  end text left parenthesis pi comma 2 pi right parenthesis & left parenthesis 0 comma 5 pi right parenthesis text  is  end text

  1. 3
  2. 1 third
  3. 1 third
  4. - 3

hintHint:

A line is a one-dimensional figure, which is consists of a set of points and it has no end points. Line is also known as the shortest distance between two points. Line can be expressed in form of an equation whose standard form is y=mx+c, where m is the slope of the line and c is the intercept of the line. Here, we have to write the slope of the line which can be done by using the points given in the question.

The correct answer is: - 3


    In the question the given points are (π,2π) and (0,5π).
    We have to find the slope of the line joining the given points.
    Let
    m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
m equals fraction numerator 5 straight pi minus 2 straight pi over denominator 0 minus straight pi end fraction
m equals fraction numerator 3 straight pi over denominator negative straight pi end fraction
m equals negative 3
    So, the slope of the line joining the points (π,2π) and (0,5π) is -3.
    Therefore, the correct option is d, i e., -3.

    Slope of a line shows the inclination of a line. We can find the slope of a line using the points of the line using the formula m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction, where m is the slope of the line, x subscript 1 comma space y subscript 1 comma space x subscript 2 space a n d space y subscript 2  are the coordinates of the two points.

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