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Math Help - analytic geometry question

  1. #1
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    analytic geometry question

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    MHF Contributor FernandoRevilla's Avatar
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    Re: analytic geometry question

    Quote Originally Posted by Mhmh96 View Post
    One general way: the equation of the straight line passing trough the the points (x_1,y_1) and (x_2,y_2) is y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

    Particular way: is horizontal our straight line?
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    Re: analytic geometry question

    I think b refer to the y-axis ,right?
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    MHF Contributor FernandoRevilla's Avatar
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    Re: analytic geometry question

    Quote Originally Posted by Mhmh96 View Post
    I think b refer to the y-axis ,right?
    Right, so m=\ldots ?\;,\quad b=\ldots ?
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    Re: analytic geometry question

    Now how can i find the slope of this line? ,do i need just apply the law of finding the slope of line like this...-7+7/1+2=0/3=0 ?
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    Re: analytic geometry question

    Quote Originally Posted by Mhmh96 View Post
    Now how can i find the slope of this line? ,do i need just apply the law of finding the slope of line like this...-7+7/1+2=0/3=0 ?
    Yes, that's the correct method (and 0 is the correct answer).


    One small remark though: -7+7/1+2 is not the correct the way to write your calculation. This calculation is solved as:
    -7+7/1+2=-7+7+2=2
    which I think is not what you meant.

    The correct way of writing is with either brackets or fractions, like this:
    (-7+7)/(1+2) or \frac{-7+7}{1+2}
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    Re: analytic geometry question

    Another way: you want y= mx+ b and both (x, y)= (-2, -7) and (x, y)= (1, -7) must satisfy that equation. Putting those values into the equation, we have -7= m(-2)+ b and -7= m(-1)+ b so can solve the simultaneous equations -2m+ b= -7, -m+ b= -7.

    Of course, the easiest way to solve this particular problem is to observe that both points have y-value -7. Since a straight line is determined by two points, that's a horizontal line and y= -7 must be the equation.
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