How to write the equation of a direct variation that includes the point (-6,1)?

crubats4b5p

crubats4b5p

Answered question

2023-03-17

How to write the equation of a direct variation that includes the point (-6,1)?

Answer & Explanation

srnessgebf

srnessgebf

Beginner2023-03-18Added 8 answers

Let ( x , y ) ( - 6 , 1 )
The term 'direct variation implies that we have the structure of
Let k be a constant of variation
Thus y = k x ...(1)
We are given that ( x , y ) ( - 6 , 1 ) so by substitution equation (1) becomes 1 = k ( - 6 )
Divide both sides by -6
1 - 6 = k × - 6 - 6
But - 6 - 6 = 1 giving
- 1 6 = k
Equation of direct variation is: y = k x y = ( - 1 6 ) x

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