The graph represents y = −14
x − 3. Which coordinate pair is NOT a solution for the equation?
Responses
A (−8, −1)(−8, −1)
B (−2, −4)(−2, −4)
C (4, −4)(4, −4)
D (0, −3)
To determine which coordinate pair is NOT a solution for the equation y = -14(x - 3), we substitute each coordinate pair into the equation and check if the equation is satisfied.
A: (-8, -1)
y = -14(-8-3) = -14(-11) = 154
The equation is satisfied for coordinate pair A.
B: (-2, -4)
y = -14(-2-3) = -14(-5) = 70
The equation is satisfied for coordinate pair B.
C: (4, -4)
y = -14(4-3) = -14(1) = -14
The equation is satisfied for coordinate pair C.
D: (0, -3)
y = -14(0-3) = -14(-3) = 42
The equation is NOT satisfied for coordinate pair D.
Therefore, the coordinate pair that is NOT a solution for the equation is (0, -3). The correct response is D.
To determine which coordinate pair is not a solution for the equation y = -14x - 3, we need to substitute the x and y values of each pair into the equation and check if it holds true.
Let's substitute the values from the coordinate pairs:
A: (-8, -1)
Substituting x = -8 and y = -1 into the equation:
-1 = -14(-8) - 3
Simplifying the equation:
-1 = 112 - 3
-1 = 109
The equation is not true, so coordinate pair A is not a solution.
B: (-2, -4)
Substituting x = -2 and y = -4 into the equation:
-4 = -14(-2) - 3
Simplifying the equation:
-4 = 28 - 3
-4 = 25
The equation is not true, so coordinate pair B is not a solution.
C: (4, -4)
Substituting x = 4 and y = -4 into the equation:
-4 = -14(4) - 3
Simplifying the equation:
-4 = -56 - 3
-4 = -59
The equation is not true, so coordinate pair C is not a solution.
D: (0, -3)
Substituting x = 0 and y = -3 into the equation:
-3 = -14(0) - 3
Simplifying the equation:
-3 = 0 - 3
-3 = -3
The equation is true, so coordinate pair D is a solution.
Therefore, the answer is option B: (−2, −4) is NOT a solution for the equation y = -14x - 3.
To determine which coordinate pair is not a solution for the equation y = -14x - 3, we need to substitute the values of x and y from each coordinate pair into the equation and check if the resulting equation is true or not.
Let's go through each coordinate pair one by one:
A) (-8, -1)
Substitute x = -8 and y = -1 into the equation:
-1 = -14(-8) - 3
Simplify the equation:
-1 = 112 - 3
-1 = 109
The resulting equation is not true. Therefore, the coordinate pair (-8, -1) is not a solution for the equation.
B) (-2, -4)
Substitute x = -2 and y = -4 into the equation:
-4 = -14(-2) - 3
Simplify the equation:
-4 = 28 - 3
-4 = 25
The resulting equation is not true. Therefore, the coordinate pair (-2, -4) is not a solution for the equation.
C) (4, -4)
Substitute x = 4 and y = -4 into the equation:
-4 = -14(4) - 3
Simplify the equation:
-4 = -56 - 3
-4 = -59
The resulting equation is not true. Therefore, the coordinate pair (4, -4) is not a solution for the equation.
D) (0, -3)
Substitute x = 0 and y = -3 into the equation:
-3 = -14(0) - 3
Simplify the equation:
-3 = 0 - 3
-3 = -3
The resulting equation is true. Therefore, the coordinate pair (0, -3) is a solution for the equation.
Based on the analysis, the coordinate pair that is NOT a solution for the equation is A) (-8, -1).