Question

find the distance between point g and point h.

Explanation:

Step1: Identify coordinates

Let point $G$ have coordinates $(-1,4)$ and point $H$ have coordinates $(-1, - 4)$.

Step2: Apply distance formula for points with same x - coordinate

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Since $x_1=x_2=-1$, the formula simplifies to $d=\vert y_2 - y_1\vert$. Here, $y_1 = 4$ and $y_2=-4$, so $d=\vert-4 - 4\vert$.

Step3: Calculate the distance

$d=\vert-8\vert = 8$.

Answer:

$8$