Question

i can find the distance between two given points. find the distance between the given points. 9. a(5, - 1) and b(7, 9)

Explanation:

Step1: Recall distance formula

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

Step2: Identify coordinates

Here $x_1 = 5,y_1=-1,x_2 = 7,y_2 = 9$.

Step3: Substitute values

$d=\sqrt{(7 - 5)^2+(9-(-1))^2}=\sqrt{2^2 + 10^2}$.

Step4: Simplify

$d=\sqrt{4 + 100}=\sqrt{104}=2\sqrt{26}$.

Answer:

$2\sqrt{26}$