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I really need help with these questions I don't understand what to do!

I really need help with these questions I don't understand what to do!-example-1

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The given points are A(-3,2) and B(6,1).

To find x-coordinate we use the following formula


x=(a)/(a+b)(x_2-x_1)+x_1

Where a=2, and b=1. Replacing the coordinates, we have


\begin{gathered} x=(2)/(2+1)(6-(-3))+(-3)=(2)/(3)(6+3)-3=(2)/(3)(9)-3 \\ x=(18)/(3)-3=6-3=3 \end{gathered}

Then, we find y-coordinate.


\begin{gathered} y=(a)/(a+b)(y_2-y_1)+y_1 \\ y=(2)/(2+1)(1-2)+2=(2)/(3)(-1)+2=-(2)/(3)+2 \\ y=-(2+6)/(3)=-(8)/(3)=-2.66666\ldots \end{gathered}

Therefore, the coordinates are (3, -8/3).

User Soyuka
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