The answer is C.
Perpendicular lines have opposite reciprocal slopes. That means one is negative and the other is positive, and the fractions are flipped.
Answer:

Step-by-step explanation:
Given two points are (-1,7) and (7,7).
We are told to find a point which is in between them at a ratio of 6:5.
Formula for calculating a point at distance of ratio m:n is given by

where
are the inital and final points.

also m:n=6:5 ,
by substituting all the values we get,


I pretty sure that the answer would be 6 50/117 but if you get a fraction calculator app it can help more.
Given:
Endpoints of segment AB are A(- 18, 5) and B(- 4, 5).
Point Z is located exactly 1/8 of the distance from A to B.
To find:
The value of the x-coordinate of point Z.
Solution:
Point Z is located exactly 1/8 of the distance from A to B.
AZ:AB=1:8
AZ:ZB = AZ:(AB-AZ)= 1:(8-1) = 1:7
It means point Z divided segment AB in 1:7.
Using section formula, the x coordinate of point Z is





Therefore, the required x-coordinate of point Z is -16.25.