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Math Help - find gradient of L

  1. #1
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    find gradient of L

    the line L makes an angle of 21.8 degrees with the x-axis(L is increasing from Left to Right)
    (a)find the gradient of L ??
    (b)if point(1,1) is on L find equation of L??

    so little information I dont know where to start please help
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  2. #2
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    Quote Originally Posted by wolfhound View Post
    the line L makes an angle of 21.8 degrees with the x-axis(L is increasing from Left to Right)
    (a)find the gradient of L ??
    (b)if point(1,1) is on L find equation of L??

    so little information I dont know where to start please help
    From what I can gather:

    The gradient is, by definition equal to change in y over change in x:

    m = \frac{\Delta y}{\Delta x}

    As the x and the y axis are perpendicular this will form a right-angled triangle with L as the hypotenuse. Since the ratio of m does not change trig can be applied and so in this case

    tan(x) = \frac{opp}{adj} = m

    Therefore m = tan(21.8) which should be about 0.4
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    Thank you
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