I need help with this problem.

Question

Which is the correct equation of the line that goes through the point (4,11) and is perpendicular to the line that passes through points (4,6) and (8,14)?

Thanks

Answer 1

(4,6), (8,14) have a line with slope= (14-6)/(8-4) =8/4= 2

perpendicular lines have slope= -1/2, the negative inverse of 2

a perpendicular line through (4,11) is

y-11=-(1/2)(x-4)

or

x+2y=26