find graphically the vertices of the triangle formed by the x axis and the lines

2x-y+8=0 and 8x+3y-24=0

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find graphically the vertices of the triangle formed by the x
axis and the lines
2x-y+8=0 and 8x+3y-24=0

Priyanka Kedia · Accepted Answer

$(1) T h e g i v e n e q u a t i o n c a n b e w r i t t e n a s, y = 0 ...... (1) y = 2 x + 8 ....... (2) y = \frac{24 - 8 x}{3} ...... (3) T a b l e o f v a l u e s f o r e q u a t i o n (2), i f x = 0, t h e n y = 8 i f x = 1, t h e n y = 10 p l o t t h e p o int s (0, 8) a n d (1, 10) o n t h e g r a p h p a p e r, a n d c o n n e c t t h e m b y a s t r a i g h t l i n e . T a b l e o f v a l u e s f o r e q u a t i o n (3), i f x = 0, t h e n y = 8 i f x = 1, t h e n y = \frac{16}{3} p l o t t h e p o int s (0, 8) a n d (1, \frac{16}{3}) o n t h e g r a p h p a p e r, a n d c o n n e c t t h e m b y a s t r a i g h t l i n e .$

$T h e l i n e s int e r \sec t a t t h e p o int A, B a n d C . T h e r e f o r e, t h e v e r t i c e s o f a t r i a n g l e A B C a r e A (0, 8), B (- 4, 0) a n d C (3, 0)$

$T h e l i n e s int e r \sec t a t t h e p o int A, B a n d C T h e r e f o r e, t h e v e r t i c e s o f a t r i a n g l e A B C a r e A (0, 8), B (- 4, 0) a n d C (3, 0)$

find graphically the vertices of the triangle formed by the x axis and the lines 2x-y+8=0 and 8x+3y-24=0

find graphically the vertices of the triangle formed by the x axis and the lines

2x-y+8=0 and 8x+3y-24=0