Which equation is the direct variation equation if f(x) varies directly with x and f(x)=-2 when x=6
1 answer:
Answer:
Step-by-step explanation
Given f is a direct variation equation (Direct variation is when one variable is equal to a constant times another variable, with no additions or subtractions alongside).
Now by the above condition let the constant be "c".Then
also given that when
on substituting the above values,
Therefore our equation is
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By using any two of the points in the table, we will see that the slope is -2.
<h3>How to get the slope for the linear relationship?</h3>
A general linear relationship is:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that if the line passes through (x₁, y₁) and (x₂, y₂), the slope is:
Here we can use the first two points on the table:
(-4, 11) and (2, -1), so the slope is:
Then the slope of the line is -2.
If you want to learn more about linear relationships:
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Answer:
Step-by-step explanation:
The given vector is represented by (2,-1).
This can be represented in general form as (x,y) where x=2 and y=-1.
Magnitude of the vector represented as (x,y) is given by
Evaluating for the given values of x and y,
Length of the vector is