Question

ii. find the distance between: (-3, -1) & (1, -1)

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, $x_1=-3,y_1 = - 1,x_2=1,y_2=-1$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(1-(-3))^2+((-1)-(-1))^2}=\sqrt{(1 + 3)^2+( - 1 + 1)^2}=\sqrt{4^2+0^2}$.

Step3: Calculate result

$\sqrt{4^2+0^2}=\sqrt{16+0}=\sqrt{16}=4$.

Answer:

$4$