Answer:
c= -2
Explanation:
Perpendicular lines imply that the product of the gradient of the two lines is -1.
So let's find the gradient of each lines.
Gradient of 1st line
= 1-(-4)/ -3-2
= 5/-5
= -1
(gradient of 1st line)(gradient if 2nd line)= -1
(-1)(gradient of 2nd line)= -1
gradient of 2nd line= -1 ÷ (-1) =1
Now make use of the gradient formula to find an expression of the gradient of the second line.
Gradient of 2nd line= c-1/ -2-1
subst. gradient of second line and simplify:
1= c-1/-3
c-1= -3 (multiply by -3 on both sides)
c= -3+1 (add 1 on both sides)
c= -2