Find the constant of variation k for the direct variation. 2x + 6y = 0
1 answer:
Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have
Isolate the variable y
subtract 2x both sides
Divide by 6 both sides
therefore
The constant of variation is equal to
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Answer:
C) Both
Step-by-step explanation:
The given equation is:
To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.
Using this property:
So, Erik's solution strategy would work.
Now, let us discuss about Caleb's solution strategy:
Multiply i.e.
=
So, the equation becomes:
Comparing this equation to standard quadratic equation:
a = 3, b = -10, c = -8
So, this can be solved using the quadratic formula.
The answer is same from both the approaches.
So, the correct answer is:
C) Both