Question

Write the formula for the distance $d$from $P_1=\left(x_1,y_1\right)$to $P_2=\left(x_2,y_2\right)$.

Short answer

The solution is $d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}$.

Step-by-step solution

Step 1. Given information 

$P_1=\left(x_1,y_1\right)$and$P_2=\left(x_2,y_2\right)$

Step 2. Calculation 

The formula for the distance $d$from$P_1=\left(x_1,y_1\right)$to $P_2=\left(x_2,y_2\right)$is -

$d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}$