Which of the ordered pairs are solutions to the equation
y =
1
3
x + 1?
(Select all that apply.)

(−3, 0)

(−9, −1)

(−6, −1)
Incorrect: Your answer is incorrect.

Respuesta :

(-3, 0) is a solution to given equation

(-6, -1) is a solution to given equation

Solution:

Given that equation is:

[tex]y = \frac{1}{3}x + 1[/tex]

Option 1

(-3, 0)

Substitute x = -3 and y = 0 in given equation

[tex]0 = \frac{1}{3} \times -3 + 1\\\\0 = -1 + 1\\\\0 = 0[/tex]

Thus (-3, 0) is a solution to given equation

Option 2

(-9, -1)

Substitute x = -9 and y = -1 in given equation

[tex]-1 = \frac{1}{3} \times -9 + 1\\\\-1 = -3 + 1\\\\-1 \neq -2[/tex]

Thus (-9, -1) is not a solution to given equation

Option 3

(-6, -1)

Substitute x = -6 and y = -1 in given equation

[tex]-1 = \frac{1}{3} \times - 6 + 1\\\\-1 = -2 + 1\\\\-1 = -1[/tex]

Thus (-6, -1) is a solution to given equation