Respuesta :

Answer:

X : -6, 3, 15, -12

Y : 11, 5, -3, 15

Step-by-step explanation:

Hey there!

To find the y values we need to plug the x values into th given equation,

y = -2/3x + 7

-6 ⇒ 11

15 ⇒ -3

Now we have a x value missing to that that we work backwards,

we plug in 15 for y in the given equation,

15 ⇒-12

Hope this helps :)

Step-by-step explanation:

[tex]y = - \frac{2}{3} x + 7[/tex]

Substituting the values of x into the expression we have

For x = - 6

[tex]y = - \frac{2 }{3} ( - 6) + 7[/tex]

y = 11

For y = 5

Make x the subject

[tex]5 = - \frac{2}{3} x + 7[/tex]

Multiply through by 3

15 = - 2x + 21

-2x = 15 - 21

- 2x = - 6

Divide both sides by - 2

x = 3

For x = 15

[tex]y = - \frac{2}{3} (15) + 7[/tex]

y = - 10 + 7

y = - 3

For y = 15

[tex]15 = - \frac{2}{3} x + 7[/tex]

Multiply through by 3

45 = - 2x + 21

- 2x = 45 - 21

- 2x = 24

Divide both sides by - 2

x = - 12

Hope this helps you