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For us to determine the distance between two points on the Cartesian plane we need to use the Pythagorean Theorem which is:

We let the coordinates as follows:
For point A: (x_a,y_a)=(-3,0)
For point B: (x_b,y_b)=(7,1)

The Pythagorean Theorem would be:

We substitute the values:

The value of c is the square root of 101 which is either  \sqrt{101} or - \sqrt{101} but since the distance between two points can never be negative then the distance between A and B is  \sqrt{101}