Look at the following points.
(1,4), (8, 5), (0, 3), (2,−1)
Which are solutions to y = x −3? Choose all correct answers.
Responses
(1,4)
(8, 5)
(0, 3)
(2,−1)
(1,4), (8, 5), and (0, 3) are solutions to y = x −3.
To determine which of the given points are solutions to the equation y = x - 3, we can substitute the x and y values from each point into the equation and check if it is satisfied.
Let's substitute the values of x and y from each point:
For point (1, 4):
Substituting x = 1 and y = 4 into the equation y = x - 3:
4 = 1 - 3
4 = -2 (This is not true, so (1, 4) is not a solution)
For point (8, 5):
Substituting x = 8 and y = 5 into the equation y = x - 3:
5 = 8 - 3
5 = 5 (This is true, so (8, 5) is a solution)
For point (0, 3):
Substituting x = 0 and y = 3 into the equation y = x - 3:
3 = 0 - 3
3 = -3 (This is not true, so (0, 3) is not a solution)
For point (2, -1):
Substituting x = 2 and y = -1 into the equation y = x - 3:
-1 = 2 - 3
-1 = -1 (This is true, so (2, -1) is a solution)
The correct answers are:
(8, 5)
(2, -1)