Question

find the distance between the two points. a(7, -2) and b(6, -3)
√2
√26
√170
√194

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 7,y_1=-2,x_2 = 6,y_2=-3$.

Step2: Substitute values

$d=\sqrt{(6 - 7)^2+(-3+ 2)^2}=\sqrt{(-1)^2+(-1)^2}$.

Step3: Calculate squares and sum

$(-1)^2=1$, so $d=\sqrt{1 + 1}=\sqrt{2}$.

Answer:

$\sqrt{2}$