Question

coordinates (x1, y1) of point a: (-3, -4)
coordinates (x2, y2) of point z: (-2, -6)
d = \sqrt{(x2 - x1)^2+(y2 - y1)^2}
d = \sqrt{(-1)^2+(2)^2}
d =
the length of segment az is feet

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(-3,-4)$ and $(x_2,y_2)=(-2,-6)$.

Step2: Calculate differences

$x_2 - x_1=-2-(-3)=1$, $y_2 - y_1=-6 - (-4)=-2$. But in the given formula substitution, it seems there is a wrong - sign for the $x$ - difference calculation in the provided work. The correct substitution into the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ should be $d=\sqrt{( - 2-(-3))^2+(-6 - (-4))^2}=\sqrt{(1)^2+(-2)^2}$.

Step3: Evaluate expression

$d=\sqrt{1 + 4}=\sqrt{5}\approx2.24$.

Answer:

$\sqrt{5}\approx2.24$