Hello!
Given the two points, [tex] (x_{1}, y_{1}) [/tex] and [tex] (x_{2}, y_{2}) [/tex], and to find the distance between these two points is found by using the formula:
[tex] d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}} [/tex]
[tex] (x_{1}, y_{1}) [/tex] is assigned to one the points, in this case, is (4, 1).
[tex] (x_{2}, y_{2}) [/tex] is assigned to other point, which is (9, 1).
Then, plug in these values into the formula and solve.
[tex] d = \sqrt{(9-4)^{2}-(1-1)^{2}} [/tex]
[tex] d = \sqrt{5^{2}-0^{2}} [/tex]
[tex] d = \sqrt{25} [/tex]
[tex] d = 5 [/tex]
Therefore, the distance between the two points is 5.
