Question

#19 The distance between the points (4, 1) and (9, 1) is

Answer 1

Hello!

Given the two points, $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$, and to find the distance between these two points is found by using the formula:

$d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}$

$(x_{1}, y_{1})$ is assigned to one the points, in this case, is (4, 1).

$(x_{2}, y_{2})$ is assigned to other point, which is (9, 1).

Then, plug in these values into the formula and solve.

$d = \sqrt{(9-4)^{2}-(1-1)^{2}}$

$d = \sqrt{5^{2}-0^{2}}$

$d = \sqrt{25}$

$d = 5$

Therefore, the distance between the two points is 5.