Final answer:
Only the point (1,5) is a solution to the equation y=4x+1. Points (2,10), (3,7), and (4,14) do not satisfy the equation after substituting the x values.
Step-by-step explanation:
To find which points would be solutions to the equation y=4x+1, you can substitute the x value of each point into the equation and see if the y value solves the equation correctly. For example, let's look at the point (1,5). If we substitute x=1 into the equation, we get y = 4(1) + 1, which equals 5. This means that the point (1,5) is a solution to the equation as the y value matches the result of the equation.
Following this method, let's check each point:
- For point (2,10), plugging x=2 into the equation gives y = 4(2) + 1 = 9, which is not equal to 10, so (2,10) is not a solution.
- For point (3,7), plugging x=3 into the equation gives y = 4(3) + 1 = 13, which is not equal to 7, so (3,7) is not a solution.
- For point (4,14), plugging x=4 into the equation gives y = 4(4) + 1 = 17, which is not equal to 14, so (4,14) is not a solution.
Therefore, the only point from the given list that is a solution to the equation y=4x+1 is (1,5).