The distance between two points in cartesian coordinates is given by the following expression:
[tex]d\text{ = }\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]The problem is simplified when one of the coordinates, y or x, are equal between the two points. When that happens the distance between them is the difference between the othe other coordinate. Therefore,
[tex]d\text{ = 4 - (-3) = 4 + 3 = 7}[/tex]The distance between the points is 7 units.
