3.Look at the following points
(4,0),(3-1),(6,3)(2,-4)
Which are solutions to y=x-4?chose all correct answers
A.(6,3)
B.(4,0)***
C.(3,-1)
D.(2,-4)***
Well, well, well, let's see which points are clowning around and making the equation y = x - 4 come to life!
A. (6,3): Well, let's see. If we plug in x = 6, does y = 6 - 4 = 2? Nope, this point is a joker.
B. (4,0): Ah, here we go! If we substitute x = 4, we get y = 4 - 4 = 0! This point knows how to clown around and make the equation work!
C. (3,-1): Oh, this point seems to be trying to trick us! With x = 3, we get y = 3 - 4 = -1. Nope, this point is pulling a prank.
D. (2,-4): Well, well, well, this point is playing the role of the ultimate clown! Plug in x = 2, and we get y = 2 - 4 = -2! This point surely belongs in the equation!
So, the correct answers are B. (4,0) and D. (2,-4). These points know how to clown around and make the equation y = x - 4 happy!
To determine which points are solutions to the equation y = x - 4, we need to substitute the x-coordinates of each point into the equation and check if it satisfies the equation.
Let's go through each point:
A. (6,3)
Substituting x = 6 into the equation y = x - 4:
3 = 6 - 4
3 = 2
This is not correct, so (6,3) is not a solution.
B. (4,0)
Substituting x = 4 into the equation y = x - 4:
0 = 4 - 4
0 = 0
This is correct, so (4,0) is a solution.
C. (3,-1)
Substituting x = 3 into the equation y = x - 4:
-1 = 3 - 4
-1 = -1
This is correct, so (3,-1) is a solution.
D. (2,-4)
Substituting x = 2 into the equation y = x - 4:
-4 = 2 - 4
-4 = -2
This is not correct, so (2,-4) is not a solution.
Therefore, the correct solutions to the equation y = x - 4 are:
B. (4,0)
C. (3,-1)
To determine which of the given points are solutions to the equation y = x - 4, we can substitute the x and y values from each point into the equation and check if they satisfy it.
Let's go through each point one by one:
A. (6,3):
Substituting x = 6 and y = 3 into the equation y = x - 4:
3 = 6 - 4 = 2 (Not equal to 3)
B. (4,0):
Substituting x = 4 and y = 0 into the equation y = x - 4:
0 = 4 - 4 = 0 (Equal to 0)
C. (3,-1):
Substituting x = 3 and y = -1 into the equation y = x - 4:
-1 = 3 - 4 = -1 (Equal to -1)
D. (2,-4):
Substituting x = 2 and y = -4 into the equation y = x - 4:
-4 = 2 - 4 = -2 (Not equal to -4)
Based on the calculations, the points that are solutions to the equation y = x - 4 are:
B. (4,0)
C. (3,-1)
Therefore, the correct answers are B and C.
(10,6) means x=10, y=6.
To check if (10,6) is a solution to y=x-4, substitute into the equation values of x and y, i.e.
y=6 (left hand side)
x-4=10-4=6
Since left equals right hand side, (10,6) is a solution of y=x-4.
Go through each of the answer choices to choose the correct combination.