Look at the following points.
(4,0), (3,-1),(6,3),(2,-4)
Which are solutions to y=x-4? Choose all correct answers.
I got the answers...I think...
My answers are (4,0) and (2,-4)
Your first answer is right but your second one is either (6, 3) or (3, -1)
To determine which points are solutions to the equation y = x - 4, we can substitute the x-coordinates of the given points into the equation and see if the resulting y-coordinate matches.
1. For point (4, 0):
Substitute x = 4 into the equation: y = 4 - 4 = 0
The y-coordinate of this point matches with the equation.
2. For point (3, -1):
Substitute x = 3 into the equation: y = 3 - 4 = -1
The y-coordinate of this point matches with the equation.
3. For point (6, 3):
Substitute x = 6 into the equation: y = 6 - 4 = 2
The y-coordinate of this point does not match with the equation.
4. For point (2, -4):
Substitute x = 2 into the equation: y = 2 - 4 = -2
The y-coordinate of this point does not match with the equation.
So, the correct solutions to y = x - 4 are (4, 0) and (3, -1).
To determine which points are solutions to the equation y = x - 4, we can substitute the x and y values of each point into the equation and check if it holds true.
Let's go through each point one by one:
1. (4,0):
Substituting x = 4 and y = 0 into the equation, we get:
0 = 4 - 4
0 = 0
Since the equation holds true, (4,0) is a solution.
2. (3,-1):
Substituting x = 3 and y = -1 into the equation, we get:
-1 = 3 - 4
-1 = -1
Once again, the equation holds true, so (3,-1) is a solution.
3. (6,3):
Substituting x = 6 and y = 3 into the equation, we get:
3 = 6 - 4
3 = 2
The equation does not hold true in this case, so (6,3) is not a solution.
4. (2,-4):
Substituting x = 2 and y = -4 into the equation, we get:
-4 = 2 - 4
-4 = -2
Here, the equation also does not hold true, so (2,-4) is not a solution.
In summary, the points that are solutions to the equation y = x - 4 are (4,0) and (3,-1).