Question

coordinates (x1, y1) of point a: (7, 11)
coordinates (x2, y2) of point u: (7, 6)
d = \sqrt{(x2 - x1)^2+(y2 - y1)^2}
d = \sqrt{(0)^2+(5)^2}
d =

Explanation:

Step1: Identify coordinate values

Let $(x_1,y_1)=(7,11)$ and $(x_2,y_2)=(7,6)$.

Step2: Calculate differences

$x_2 - x_1=7 - 7=0$, $y_2 - y_1=6 - 11=- 5$. But we use the absolute - value in the distance formula, so we consider the non - negative value of $y_2 - y_1$ which is $5$.

Step3: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute $x_2 - x_1 = 0$ and $y_2 - y_1 = 5$ into the formula: $d=\sqrt{0^2+5^2}=\sqrt{25}=5$.

Answer:

$5$