Which ordered pair is a solution of y = x – 4?

a. (−1, −5)
b. (0, −3)
c. (2, 6)
d. (3, 1)

my answer C (2, 6)

You are correct.

Which equation has (2, −1) as a solution?

a. y = 2x − 1
b. y = x + 3
c. y = x – 3
d. y = −2x + 1

my answer A y = 2x -1

guess again.

2*2-1 = 3 not -1

clearly you did not test your choice.

Which ordered pair is a solution of y = x – 4?

a. (−1, −5)

-5 = -1 - 4 yes

To determine which ordered pair is a solution of the equation y = x - 4, you need to substitute the values of x and y for each ordered pair provided and check if the equation holds true. Let's go through the options one by one:

a. (-1, -5)
For x = -1, we have:
y = x - 4
y = -1 - 4
y = -5
Since y = -5, this ordered pair is a solution to the equation.

b. (0, -3)
For x = 0, we have:
y = x - 4
y = 0 - 4
y = -4
Since y = -4, this ordered pair is not a solution to the equation.

c. (2, 6)
For x = 2, we have:
y = x - 4
y = 2 - 4
y = -2
Since y = -2, this ordered pair is not a solution to the equation.

d. (3, 1)
For x = 3, we have:
y = x - 4
y = 3 - 4
y = -1
Since y = -1, this ordered pair is not a solution to the equation.

Therefore, the only ordered pair that is a solution of y = x - 4 is option a, (-1, -5).