Question

Which ordered pair is generated from the equation below? y = x - 2 A. (5, 7) B. (7, 14) C. (7, 9) D. (5, 3)

Answer 1

Answer:

(5,3)

Step-by-step explanation:

If you graph the equation $y=x-2$ and plot all the points given as options, you can see that (5,3) lies on the line, while all others don't. This means that option D (5,3) would get generated by the equation.

Another way to do this is to substitute 'x' and 'y' for the points given. If they satisfy the equation, then it would be correct.

Option A (5,7):

$7=5-2\\\boxed{7\neq3}$

Option A is incorrect.

Option B (7,14):

$14=7-2\\\boxed{14\neq5}$

Option B is incorrect.

Option C (7,9):

$9=7-2\\\boxed{9\neq5}$

Option C is incorrect.

Option D (5,3):

$3=5-2\\\boxed{3=3}$

Option D is correct.

Option D should the the correct answer.