Question

Which ordered pairs are on the line ​ 2x−3y=82x−3y=8 ​?

Select each correct answer.

​ (−2,4)(−2,4) ​

​ (12,−73)(12,−73) ​

​ (−5,−6)(−5,−6) ​

​ (2,−43)(2,−43) ​

Answer 1

Hello,


(12,−73)(12,−73) ​ would be your answer to this question

Answer 2

`((1)/(2),-(7)/(3))`

`(-5,-6)`

`(2,-(4)/(3))`.

Explanation:

The given line has equation

`2x-3y=8`

To determine which ordered pairs are on the given line, we need to substitute each ordered into the equation of the given.

The ordered pairs that satisfy the equation of the line, are on the line.

For the first ordered pair
`(-2,4)`.

`2(-2)-3(4)=-4-12=-16\\e8`

This point is not on the line.

For the second ordered pair
`((1)/(2),-(7)/(3))`.

`2((1)/(2))-3(-(7)/(3))=1+7=8`

This point is on the line.

For the third ordered pair
`(-5,-6)`.

`2(-5)-3(-6)=-10+18=8`

This point is also on the line.

For the fourth ordered pair
`(2,-(4)/(3))`.

`2(2)-3(-(4)/(3))=4+4=8`

This point too is on the line.