Question

coordinates (x1, y1) of point e: (11, 9)
coordinates (x2, y2) of point l: (-4, 8)
d = \sqrt{(x2 - x1)^2+(y2 - y1)^2}
d = \sqrt{(15)^2+(1)^2}
d =
the distance between ethans house and latonyas house

Explanation:

Step1: Identify coordinate values

Let $(x_1,y_1)=(11,9)$ and $(x_2,y_2)=(-4,8)$.

Step2: Calculate $x_2 - x_1$ and $y_2 - y_1$

$x_2 - x_1=-4 - 11=-15$, $y_2 - y_1=8 - 9=-1$. But in the given work, they squared the differences, and $(-15)^2 = 15^2$ and $(-1)^2=1^2$.

Step3: Apply distance formula

$d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{(- 15)^2+(-1)^2}=\sqrt{15^2 + 1^2}=\sqrt{225 + 1}=\sqrt{226}\approx15.03$

Answer:

$\sqrt{226}\approx15.03$