Answer:
sqrt(97)
Step-by-step explanation:
Since the x for both of the points are the same, we can reduce the problem to "find the distance between (-4, 7) and (5, 3)".
To do that, we can use the Pythagorean theorem, where (change in x)^2+(change in y)^2 = (distance)^2:
(5-(-4))^2+(3-7)^2=d^2
(9)^2+(-4)^2=d^2
81+16=d^2
97=d^2
d=sqrt(97).