Lines a and b are perpendicular. The slope of line a is −2. What is the slope of line b?
2 answers:
Answer:
1/2
Step-by-step 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.
b= 1/2
perpendicular slopes are those that are opposite signs and reciprocal of the original given slope
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