Look at the following points. (1, 4) , (8, 5); (0, 3) , (2, - 1) Which are solutions to y = x - 3' Choose all correct answers.
(1 point)
☐ (1, 4)
☐ (8, 5)
☐ (0, 3)
☐ (2, - 1)
☑ (1, 4)
☑ (0, 3)
To determine which points are solutions to the equation y = x - 3, we can substitute the x and y values of each point into the equation and check if the equation holds true for each point.
Let's check each point:
1. Point (1, 4):
Substituting x = 1 and y = 4 into the equation, we get:
4 = 1 - 3,
which simplifies to:
4 = -2.
Since the equation does not hold true for this point, (1, 4) is not a solution.
2. Point (8, 5):
Substituting x = 8 and y = 5 into the equation, we get:
5 = 8 - 3,
which simplifies to:
5 = 5.
Since the equation holds true for this point, (8, 5) is a solution.
3. Point (0, 3):
Substituting x = 0 and y = 3 into the equation, we get:
3 = 0 - 3,
which simplifies to:
3 = -3.
Since the equation does not hold true for this point, (0, 3) is not a solution.
4. Point (2, -1):
Substituting x = 2 and y = -1 into the equation, we get:
-1 = 2 - 3,
which simplifies to:
-1 = -1.
Since the equation holds true for this point, (2, -1) is a solution.
Therefore, the correct solution(s) to y = x - 3 are:
☐ (8, 5)
☐ (2, -1)