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QUESTION IMAGE

find the distance between the points (-6, -4) and (-6, 18).

Question

find the distance between the points (-6, -4) and (-6, 18).

Explanation:

Step1: Identify the distance formula for points with same x - coordinate

Since the x - coordinates of the two points $(-6,-4)$ and $(-6,18)$ are the same, the distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $d=\vert y_2 - y_1\vert$. Here $x_1=x_2=-6$, $y_1=-4$ and $y_2 = 18$.

Step2: Calculate the distance

$d=\vert18-(-4)\vert=\vert18 + 4\vert=\vert22\vert = 22$.

Answer:

22