Question

If y = 7x - 5, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

{(-5, 0), (9, 2), (-26, -3)}
{(2,7), (1,6), (3, 13)}
{(0, -5), (2,9), (-3, -26)}
{(1, 3), (6, 18), (8, 15)}

Answer 1

option c {(0, -5), (2,9), (-3, -26)} is correct . All others doesn't satisfy the equation .

Explanation:

We have , If y = 7x - 5, following set of ordered pairs {(0, -5), (2,9), (-3, -26)} . Let's check for this

(0, -5):

⇒
`y = 7x-5`

⇒
`y = 7(0)-5`

⇒
`y =-5`

So , it's correct ordered pair .

(2,9):

⇒
`y = 7x-5`

⇒
`y = 7(2)-5`

⇒
`y =9`

So , it's correct ordered pair .

(-3,-26):

⇒
`y = 7x-5`

⇒
`y = 7(-3)-5`

⇒
`y =-26`

So , it's correct ordered pair .

Therefore, option c {(0, -5), (2,9), (-3, -26)} is correct . All others doesn't satisfy the equation .