The value of k so that the line containing the points (-8,k) and (-4,-8) is perpendicular) to the line containing the points (10, -11) and (5,-5)

Step-by-step explanation:

Step 1 :-

Perpendicular condition :-

Step 1:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

Step 2:-

The given points are (-8,k) and (-4,-8)

finding slope of the first line is

using formula

=  

finding slope of the second line is

using formula

=  

Step 3:-

using perpendicular condition

The two lines are perpendicular and their slopes are

simplification,we get solution is

Final answer is

d

step-by-step explanation: