The graph represents y=-1/4x-3 which corrdinate pair is not a solution for the equation. (-8,-1), (-2,-4), (4,-4), (0,-3)
To determine which coordinate pair is not a solution for the equation y = -1/4x - 3, we need to substitute the x and y values of each pair into the equation and check if the equation holds true.
For the coordinate pair (-8,-1):
y = -1/4x - 3
-1 = -1/4(-8) - 3
-1 = 2 - 3
-1 = -1
The equation holds true for the coordinate pair (-8,-1).
For the coordinate pair (-2,-4):
y = -1/4x - 3
-4 = -1/4(-2) - 3
-4 = 1/2 - 3
-4 = -2.5
The equation does not hold true for the coordinate pair (-2,-4).
For the coordinate pair (4,-4):
y = -1/4x - 3
-4 = -1/4(4) - 3
-4 = -1 - 3
-4 = -4
The equation holds true for the coordinate pair (4,-4).
For the coordinate pair (0,-3):
y = -1/4x - 3
-3 = -1/4(0) - 3
-3 = -3 -3
-3 = -6
The equation does not hold true for the coordinate pair (0,-3).
Therefore, the coordinate pairs that are not solutions for the equation y = -1/4x - 3 are (-2,-4) and (0,-3).
To determine which coordinate pair is not a solution for the equation y = -1/4x - 3, we can substitute the x and y values from each pair into the equation and check if the equation holds true.
Let's go through each coordinate pair one by one:
1. For the coordinate pair (-8, -1):
Substitute x = -8 and y = -1 into the equation:
-1 = (-1/4)(-8) - 3
Simplify the equation:
-1 = 2 - 3
-1 = -1
Since the equation is true, the coordinate pair (-8, -1) is a solution.
2. For the coordinate pair (-2, -4):
Substitute x = -2 and y = -4 into the equation:
-4 = (-1/4)(-2) - 3
Simplify the equation:
-4 = 1/2 - 3
-4 = -5/2
Since the equation is not true, the coordinate pair (-2, -4) is not a solution.
3. For the coordinate pair (4, -4):
Substitute x = 4 and y = -4 into the equation:
-4 = (-1/4)(4) - 3
Simplify the equation:
-4 = -1 - 3
-4 = -4
Since the equation is true, the coordinate pair (4, -4) is a solution.
4. For the coordinate pair (0, -3):
Substitute x = 0 and y = -3 into the equation:
-3 = (-1/4)(0) - 3
Simplify the equation:
-3 = 0 - 3
-3 = -3
Since the equation is true, the coordinate pair (0, -3) is a solution.
Therefore, the coordinate pair that is NOT a solution for the equation y = -1/4x - 3 is (-2, -4).
To determine which coordinate pair is not a solution for the equation y = -1/4x - 3, substitute the x and y values of each coordinate pair into the equation and check if the equation holds true.
Let's go through each coordinate pair one by one:
1) (-8, -1):
Substituting x = -8 and y = -1 into the equation:
-1 = (-1/4)(-8) - 3
-1 = 2 - 3
-1 = -1
Since the equation holds true, (-8, -1) is a solution.
2) (-2, -4):
Substituting x = -2 and y = -4 into the equation:
-4 = (-1/4)(-2) - 3
-4 = 1/2 - 3
-4 = -2.5
Since the equation does not hold true, (-2, -4) is not a solution.
3) (4, -4):
Substituting x = 4 and y = -4 into the equation:
-4 = (-1/4)(4) - 3
-4 = -1 - 3
-4 = -4
Since the equation holds true, (4, -4) is a solution.
4) (0, -3):
Substituting x = 0 and y = -3 into the equation:
-3 = (-1/4)(0) - 3
-3 = 0 - 3
-3 = -3
Since the equation holds true, (0, -3) is a solution.
Therefore, the coordinate pair (-2, -4) is not a solution for the equation y = -1/4x - 3.