Annie has created a graph of 3x+y=10 her graph intercepts at (0,10) and the next point is (1,7) is this the correct graph

To check if the graph is correct, let's substitute the given points into the equation and see if they satisfy it:

For the point (0,10):
3(0) + 10 = 10
0 + 10 = 10
10 = 10 (True)

For the point (1,7):
3(1) + 7 = 10
3 + 7 = 10
10 = 10 (True)

Since both points satisfy the equation, they lie on the graph of 3x + y = 10. Therefore, the graph is correct.