Final answer:
The point (0,3) is the only solution to the linear equation y = 2x + 3.
Step-by-step explanation:
To determine if the points (0,3), (1,6), and (2,10) are solutions to the linear equation y = 2x + 3, we need to substitute the x and y values from each point into the equation and see if they satisfy the equation.
For the point (0,3):
3 = 2(0) + 3
3 = 0 + 3
3 = 3
The equation is satisfied.
For the point (1,6):
6 = 2(1) + 3
6 = 2 + 3
6 = 5
The equation is not satisfied.
For the point (2,10):
10 = 2(2) + 3
10 = 4 + 3
10 = 7
The equation is not satisfied.
Therefore, only the point (0,3) is a solution to the linear equation y = 2x + 3.