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# HELP

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Given \DeltaΔABC with A(-7,-1) B(9,-5) C(-1,6), determine the equation of median AD in standard form. D is on segment BC.

Nov 17, 2020

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Given \DeltaΔABC with A(-7,-1) B(9,-5) C(-1,6), determine the equation of median AD in standard form. D is on segment BC.

Hello alinakapp!

$$D(\frac{-1+9}{2},\frac{-5+6}{2})\\ D(4,0.5)$$

$$m_{AD=}\frac{0.5-(-1)}{4-(-7)}\\ m_{AD}=\frac{4}{11}$$

$$f_{AD}(x)=y=m(x-x_A)+y_A$$

$$f_{AD}(x)=\frac{4}{11}(x-(-7))+(-1)=\frac{4}{11}x+\frac{28}{11}-1$$

$$f_{AD}(x)=y=\frac{4}{11}x+\frac{17}{11}$$

!

Nov 17, 2020