Question
Look at the following points.
(4, 0), (3, −1), (6, 3), (2, −4)
Which are solutions to y = x − 4? Choose all correct answers.
(1 point)
Responses
(6, 3)
(6, 3)
(4, 0)
(4, 0)
(3, −1)
(3, −1)
(2, −4)
The correct solutions to y = x - 4 are:
(6, 3)
(4, 0)
(3, -1)
(2, -4)
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 the equation holds true.
Let's check each point one by one:
1. For point (6, 3):
Substituting x = 6 and y = 3 into the equation y = x - 4:
3 = 6 - 4
3 = 2
Since 3 is not equal to 2, point (6, 3) is not a solution to the equation y = x - 4.
2. For point (4, 0):
Substituting x = 4 and y = 0 into the equation y = x - 4:
0 = 4 - 4
0 = 0
Since 0 is equal to 0, point (4, 0) is a solution to the equation y = x - 4.
3. For point (3, -1):
Substituting x = 3 and y = -1 into the equation y = x - 4:
-1 = 3 - 4
-1 = -1
Since -1 is equal to -1, point (3, -1) is a solution to the equation y = x - 4.
4. For point (2, -4):
Substituting x = 2 and y = -4 into the equation y = x - 4:
-4 = 2 - 4
-4 = -2
Since -4 is not equal to -2, point (2, -4) is not a solution to the equation y = x - 4.
Based on the above analysis, the correct solutions to the equation y = x - 4 are:
- (4, 0)
- (3, -1)