banjadejigyasha banjadejigyasha
  • 25-12-2019
  • Mathematics
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find the equation of a side AB of △ABC whose vertices are A(1,4) B (2,-3) and C(-1,-2)​

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Tucon
Tucon Tucon
  • 25-12-2019

[tex]\displaystyle\bf\\A(1,4),~B(2,-3),~C(-1,-2)\\Equation~of~a~side~AB~is:\\\\\frac{x-B_x}{A_x-B_x}=\frac{y-B_y}{A_y-B_y}\\\\\\\frac{x-2}{1-2}=\frac{y-(-3)}{4-(-3)}\\\\\\\frac{x-2}{-1}=\frac{y+3}{7}\\\\\\7(x-2)=-1(y+3)\\\\7x-14=-y-3\\\\7x-14+y+3=0\\\\7x+y-14+3=0\\\\\boxed{\bf7x+y-11=0}[/tex]

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