The gradient of a line perpendicular to the line ny+(2n+3)x=4 is -0.2 .Find the value of n
The given line can be rewritten in the form y = mx + c :
y = -(2n+3)x/n + 4/n
Here, 'm' is the gradient of the line.
m = -(2n+3)/n
If a line perpendicular to this line has a slope n, then,
m = -1/n
So:
-(2n + 3)/n = -1/-0.2
=> (2n +3) = -5n
=> 2n + 3 = -5n
=> 7n = -3
=> n = -3/7