Question

Find the equation of the line passing through the origin and which bisects the portion of the line 3x + y = 6 intercepted between the coordinate axes.
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Answer 1

y = 3x  is the equation of the line passing through the origin and which bisects the portion of the line 3x + y = 6 intercepted between the coordinate axes.

Step-by-step explanation:

3x + y = 6

at x = 0

y = 6

one coordinate  ( 0 , 6)

at y = 0

3x = 6

x = 2

Another coordinate ( 2 , 0)

Mid point of  (0, 6)  & ( 2, 0)

= (0 + 2)/2 , (6 + 0)/2

= 1  , 3

Equation of line passing through 0, 0  &  1 , 3

slope  =   (3 - 0) /( 1- 0)  = 3

y = 3x  + c

as it passes through origin c = 0

=> y = 3x

y = 3x  is the equation of the line passing through the origin and which bisects the portion of the line 3x + y = 6 intercepted between the coordinate axes.

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Answer 2

Answer:

hope it helps u plz mark it as brainlist............