5.7 units
Step-by-step explanation:
The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).
Use distance formula to calculate distance between P and R:
![PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](/tpl/images/0873/4811/d54c5.png)
Let,
![P (1, 1) = (x_1, y_1)](/tpl/images/0873/4811/0d53e.png)
![R(-3, 5) = (x_2, y_2)](/tpl/images/0873/4811/c3717.png)
Plug in the values into the formula.
![PR = \sqrt{(-3 - 1)^2 + (5 - 1)^2}](/tpl/images/0873/4811/0e89e.png)
![PR = \sqrt{(-4)^2 + (4)^2}](/tpl/images/0873/4811/8eb05.png)
![PR = \sqrt{16 + 16}](/tpl/images/0873/4811/3bec6.png)
![PR = \sqrt{32}](/tpl/images/0873/4811/e2c35.png)
(to nearest tenth)