Determine the area of the triangle enclosed by the lines $$ y = - 4 $$ , $$ x = 1 $$ and $$ y = -2x + 8 $$ .

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Uniteasy Admin · Accepted Answer

When $$ x = 1 $$ , $$ y = -2x + 8 = 6 $$
The length of One right side is
 $$ 6 - (-4) = 10 $$
When $$ y = -4 $$ , $$ x = \dfrac{8-y}{2} = 6 $$ , 
The length of another right side is
$$ 6 -1 = 5 $$
$$ 	herefore $$ the area of the triangle is,
$$ \dfrac{1}{2}	imes 10	imes 5 = 25 $$

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