Question

find the distance between the points (4, -6) and (4, 5). distance:

Explanation:

Step1: Recall distance formula

For points $(x_1,y_1)$ and $(x_2,y_2)$, distance $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step2: Substitute given points

Let $(x_1,y_1)=(4,-6)$ and $(x_2,y_2)=(4,5)$.
$d=\sqrt{(4-4)^2+(5-(-6))^2}$

Step3: Simplify the expression

$d=\sqrt{0^2+(11)^2}=\sqrt{121}$

Step4: Calculate the square root

$d=11$

Answer:

11