Which of the following is an orderd pair of the relation y=-2/3x+6

Question

(3,4)
(0,-2/3)
(1,4)
(3,8)

Answer 1

The ordered pairs of the relation y = -2/3x + 6 can be found by substituting values of x into the equation and solving for y.

For the ordered pair (3,4):
y = -2/3(3) + 6
y = -2 + 6
y = 4
The ordered pair (3,4) satisfies the equation y = -2/3x + 6.

For the ordered pair (0, -2/3):
y = -2/3(0) + 6
y = 0 + 6
y = 6
The ordered pair (0, -2/3) does not satisfy the equation y = -2/3x + 6.

For the ordered pair (1,4):
y = -2/3(1) + 6
y = -2/3 + 6
y = 6 1/3
The ordered pair (1,4) does not satisfy the equation y = -2/3x + 6.

For the ordered pair (3,8):
y = -2/3(3) + 6
y = -6/3 + 6
y = 0
The ordered pair (3,8) does not satisfy the equation y = -2/3x + 6.

Therefore, the only ordered pair of the relation y = -2/3x + 6 is (3,4).