Lines perpendicular to 2x-8

Question

Slope intercept form 

Answer 1

Any line with a slope of

 

m = -1/2 

 

is perpendicular to the given line.  You need to also specify a point that the perpendicular line passes through before the question can be answered completely.  So far, we can only tell you that

 

y = (-1/2)x + b

 

If you specify a point (x₁,y₁) that the line passes through, then you can find b from

 

y₁ = (-1/2)x₁ + b

 

b = y₁ + x₁/2