Question
Select the option below that correctly shows which of the following ordered pairs is part of the solution set for the equation y=4x+2.(1 point)
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GPT 3.5
The options for this question are not given. However, to determine which ordered pair is part of the solution set for the equation y=4x+2, let's substitute each of the given ordered pairs into the equation and see if the equation is satisfied.
The equation is y=4x+2. Now let's substitute the given ordered pairs:
1) (-1, -2)
x = -1, y = -2
-2 = 4*(-1) + 2
-2 = -4 + 2
-2 = -2
The equation is satisfied, so (-1, -2) is part of the solution set.
2) (0, -2)
x = 0, y = -2
-2 = 4*0 + 2
-2 = 0 + 2
-2 = 2
The equation is not satisfied, so (0, -2) is not part of the solution set.
3) (1, 0)
x = 1, y = 0
0 = 4*1 + 2
0 = 4 + 2
0 = 6
The equation is not satisfied, so (1, 0) is not part of the solution set.
Therefore, the ordered pair (-1, -2) is part of the solution set.
The equation is y=4x+2. Now let's substitute the given ordered pairs:
1) (-1, -2)
x = -1, y = -2
-2 = 4*(-1) + 2
-2 = -4 + 2
-2 = -2
The equation is satisfied, so (-1, -2) is part of the solution set.
2) (0, -2)
x = 0, y = -2
-2 = 4*0 + 2
-2 = 0 + 2
-2 = 2
The equation is not satisfied, so (0, -2) is not part of the solution set.
3) (1, 0)
x = 1, y = 0
0 = 4*1 + 2
0 = 4 + 2
0 = 6
The equation is not satisfied, so (1, 0) is not part of the solution set.
Therefore, the ordered pair (-1, -2) is part of the solution set.
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