Answer
$D = \sqrt {118}$
See graph below.
Work Step by Step
Given P (5, -4, -6) and Q (8, -7, 4), the question asks for a graph of the two points and the distance between them.
See graph below (graphed with GeoGebra)
The distance between the two points is determined by the distance formula:
$D = \sqrt {(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2 }$
$D = \sqrt {(8 - 5)^2 + (-7 - (-4))^2 + (4 - (-6))^2 }$
$D = \sqrt {9 + 9 + 100 }$
$D = \sqrt {118}$