Question

Lines a and b are perpendicular. The slope of line a is −2. What is the slope of line b?

Answer 1

b= 1/2

perpendicular slopes are those that are opposite signs and reciprocal of the original given slope

Answer 2

1/2

Explanation:

When two lines whose scopes are m₁ and m₂ are perpendicular, then the product of the scopes of both lines is -1.

Therefore,

If m₁ is the scope of line a and m₂ is the scope of line b then,

m₁m₂ = -1 and m₁ = -2

-2m₂ = -1

m₂ = -1/-2 = 1/2

The slope of line b is 1/2.