Which ordered pair is a solution of the equation?
y = -7x + 2
(1,2)
(8,-54)
(5, -35)
(1,-7)
The ordered pair (1, -7) is a solution of the equation y = -7x + 2.
To determine which ordered pair is a solution of the equation y = -7x + 2, substitute the x and y values from each option into the equation and see if the equation holds true.
Option 1: (1,2)
Substituting x = 1 and y = 2 into the equation:
2 = -7(1) + 2
2 = -7 + 2
2 = -5
The equation does not hold true for (1,2).
Option 2: (8,-54)
Substituting x = 8 and y = -54 into the equation:
-54 = -7(8) + 2
-54 = -56 + 2
-54 = -54
The equation holds true for (8,-54).
Option 3: (5, -35)
Substituting x = 5 and y = -35 into the equation:
-35 = -7(5) + 2
-35 = -35 + 2
-35 = -33
The equation does not hold true for (5, -35).
Option 4: (1,-7)
Substituting x = 1 and y = -7 into the equation:
-7 = -7(1) + 2
-7 = -7 + 2
-7 = -5
The equation does not hold true for (1,-7).
Therefore, the only ordered pair that is a solution of the equation y = -7x + 2 is (8,-54).
To determine which ordered pair is a solution of the equation y = -7x + 2, we can substitute the x and y values of each option into the equation and see which one satisfies it.
Let's start with option (1,2):
Substituting x = 1 and y = 2 into the equation:
2 = -7(1) + 2
2 = -7 + 2
2 = -5
Since 2 is not equal to -5, option (1,2) is not a solution to the equation.
Now let's move on to option (8, -54):
Substituting x = 8 and y = -54 into the equation:
-54 = -7(8) + 2
-54 = -56 + 2
-54 = -54
Since -54 is equal to -54, option (8, -54) is a solution to the equation.
Next, let's check option (5, -35):
Substituting x = 5 and y = -35 into the equation:
-35 = -7(5) + 2
-35 = -35 + 2
-35 = -33
Since -35 is not equal to -33, option (5, -35) is not a solution to the equation.
Lastly, let's examine option (1, -7):
Substituting x = 1 and y = -7 into the equation:
-7 = -7(1) + 2
-7 = -7 + 2
-7 = -5
Since -7 is not equal to -5, option (1,-7) is not a solution to the equation.
In conclusion, the ordered pair that is a solution to the equation y = -7x + 2 is (8, -54).