Question

Which ordered pairs are on the line ​ 2x−3y=8 ​? Select each correct answer. ​ (12,−73) ​ ​ (−2,4) ​ ​ (2,−43) ​ ​ (−5,−6) ​

Answer 1

The answer is (-5,-6)

Answer 2

Option D is correct.

(-5, -6)

Explanation:

Ordered pair states that a pair of number that is locate a point on a coordinate plane i.,e (x, y)

Given the line:
`2x-3y = 8` .....[1]

Option A:

(12, -73)

Substitute the value of x = 12 and y = -73 in [1] we have;

2(12) - 3(-73) = 8

24 + 219 = 8

243 = 8 False.

Similarly for;

Option B

(-2, 4)

2(-2) - 3(4) = 8

-4 -12 = 8

-20 = 8 False.

Option C

(2, 43)

2(2) - 3(43) = 8

4-129= 8

-125= 8 False.

Option D

(-5, -6)

2(-5) - 3(-6) = 8

-10 +18 = 8

8 = 8 True.

Therefore, only (-5, -6) ordered pair is on the line 2x-3y = 8