A line through (3,5) and (k,12) is perpibdicular to a libe thriugh (0,7) and (2,10). find value of k.

Question

A line through (3,5) and (k,12) is perpibdicular to a libe thriugh (0,7) and (2,10). find value of k.

Answer 1

Perpendicular lines have negative reciprocal slopes.  Knowing this, we can set an equation.

 

(12 - 5) / (k - 3) = - (2 - 0) / (10 - 7)

 

 

Solve for k.

 

7 / (k - 3) = - 2 / 3

 

21 = -2(k - 3)

 

21 = -2k + 6

 

15 = -2k

 

-7.5 = k