Question

Please help what’s the answer to this?

Answer 1

The first choice, and the fourth choice

Explanation:

y - 11 =
`(-4)/(3)`(x + 7) Distribute the -4/3

y - 11 =
`(-4)/(3)` x -
`(-28)/(3)` add 11 to both sides

y - 11 + 11 =
`(-4)/(3)`x -
`(-28)/(3)` + 11

y =
`(-4)/(3)` x -
`(28)/(3)` +
`(33)/(3)`

y =
`(-4)/(3)` +
`(5)/(3)` This is the first choice. It is correct.

3y = -4x + 40 Divide all the way through by 3

`(3y)/(3)` =
`(-4)/(3)` x+
`(40)/(3)`

y =
`(-4)/(3)`x +
`(40)/(3)` This does not match choice one, so it is not correct.

y =
`(-4)/(3)`x +
`(5)/(3)` Multiply each term by 3

3y = -4x + 5 Add 4x to both sides

3y + 4x = 5 This is the fourth choice. It is correct.

If you plug is x = -7 and y = 11 for equations 3 and 5, you will see that you get a false statement, so they are not correct.

Helping in the name of Jesus.

Answer 2

Explanation:

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