SOLUTION: Find the value of k so that the line containing the points (4,2) and (2,k) is perpendicular to the line containing the points (9,−4) and (16,−7).

Algebra ->  Linear-equations -> SOLUTION: Find the value of k so that the line containing the points (4,2) and (2,k) is perpendicular to the line containing the points (9,−4) and (16,−7).      Log On


   

Question 1166753: Find the value of k so that the line containing the points (4,2) and (2,k) is perpendicular to the line containing the points (9,−4) and (16,−7).
Found 2 solutions by solver91311, greenestamps:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Calculate the slope of the line containing the points you are given specifically using the Slope formula:



Using the slope formula with the other two points, create a formula for the slope of that line as a function of .

Set this function equal to the negative reciprocal of the slope calculated in the first step. Solve for .


John

My calculator said it, I believe it, that settles it


I > Ø

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The slopes need to be negative reciprocals -- i.e., their product has to be -1.

%28%28k-2%29%2F%282-4%29%29%28%28-7-%28-4%29%29%2F%2816-9%29%29=-1

You can do the work....