Which ordered pair is a solution of
y=1/2x-3
A.(1, 4)
B.(2, -1)
C.(3, 12)
D.(4, -1)
To determine which ordered pair is a solution of the equation y = (1/2)x - 3, you need to substitute the x and y values from each option into the equation and check if the equation holds true.
Let's go through each option:
A. (1, 4)
Substituting x = 1 and y = 4 into the equation, we get:
4 = (1/2)(1) - 3
4 = 1/2 - 3
4 ≠ -2.5
This means that (1, 4) is not a solution to the equation.
B. (2, -1)
Substituting x = 2 and y = -1 into the equation, we get:
-1 = (1/2)(2) - 3
-1 = 1 - 3
-1 = -2
This equation is false, so (2, -1) is not a solution to the equation.
C. (3, 12)
Substituting x = 3 and y = 12 into the equation, we get:
12 = (1/2)(3) - 3
12 = 1.5 - 3
12 = -1.5
This equation is false, so (3, 12) is not a solution to the equation.
D. (4, -1)
Substituting x = 4 and y = -1 into the equation, we get:
-1 = (1/2)(4) - 3
-1 = 2 - 3
-1 = -1
This equation is true, so (4, -1) is a solution to the equation.
Therefore, the ordered pair (4, -1) is the solution to the equation y = (1/2)x - 3.