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Summer Clouds moderators

15/11/2017 at 08:37
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What is the y-intercept of the line that contains the points (2,0) and (4, –3)? Express your answer as an ordered pair




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  • ...
    Cậu Bé Ngu Ngơ 15/11/2017 at 12:40

    Let y = ax + b be the eqaution of the line. We have :

    {2a+b=04a+b=−3⇒{2a=−3b=−2a{2a+b=04a+b=−3⇒{2a=−3b=−2a⇒⎧⎨⎩a=−32b=3⇒{a=−32b=3

    So, the equation of the line is y=−32x+3y=−32x+3

    The answer is : (0 ; 3)

  • ...
    Phan Thanh Tinh Coordinator 15/11/2017 at 11:28

    Let y = ax + b be the eqaution of the line. We have :

    \(\left\{{}\begin{matrix}2a+b=0\\4a+b=-3\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}2a=-3\\b=-2a\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}a=-\dfrac{3}{2}\\b=3\end{matrix}\right.\)

    So, the equation of the line is \(y=-\dfrac{3}{2}x+3\)

    The answer is : (0 ; 3)


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