Question

SELECT ALL The Points that are on the Graph of the line 3x + 2y = 28 (:

Answer 1

we have to find the line which are in the line!!

points are on the graph of the line:-

3x+2y=28 ⠀

we get,

2y=28−3x ⠀

`{y=(28-3x)/(2) }`

In,(0,14)

If we put the value ,x=0

`y={( 28-3×0)/(2)=(28)/(2)=14 }`

so one point is (0,14)

In,(2,11)

If we put ,x=2

`y={(28-3×2)/(2)=(28-6)/(2)=(22)/(2)=11 }`

so,we get another point (2,11)

in other given ponts{(1,12),(4,9),(8,4)},It is impossible. ⠀ ⠀

Answer 2

(0,14) and (2,11)

Explanation:

points are on the graph of the line:-

`\tt{3x+2y=28 }` ⠀

we get,

`\rightsquigarrow`
`\tt{ 2y=28-3x }` ⠀

`\rightsquigarrow`
`\tt{y=(28-3x)/(2) }` ⠀

In,(0,14)

If we put the value ,x=0

y=
`\tt{( 28-3×0)/(2)=(28)/(2)=14 }`

So,we get one point,(0,14)✔

In,(2,11)

If we put ,x=2

y=
`\tt{(28-3×2)/(2)=(28-6)/(2)=(22)/(2)=11 }`

so,we get another point (2,11)✔

in other given ponts{(1,12),(4,9),(8,4)},It is impossible. ⠀ ⠀