How do you find the direct variation equation of the graph through the points (0, 0) and (1, -2)?
By signing up, you agree to our Terms of Service and Privacy Policy
To find the direct variation equation, use the formula ( y = kx ), where ( k ) is the constant of variation. First, find the value of ( k ) using the given points. Then, substitute ( k ) into the equation.
-
Find ( k ) using the points (0, 0) and (1, -2): [ k = \frac{y_2 - y_1}{x_2 - x_1} ] [ k = \frac{-2 - 0}{1 - 0} = -2 ]
-
Substitute ( k = -2 ) into the equation: [ y = -2x ]
By signing up, you agree to our Terms of Service and Privacy Policy
To find the direct variation equation of the graph through the points (0, 0) and (1, -2), we use the formula for direct variation, which is (y = kx), where (k) is the constant of variation.
First, we calculate the constant of variation ((k)) using one of the given points. Let's use the point (1, -2):
[-2 = k(1)]
Solving for (k):
[k = -2]
Now that we have the constant of variation, we can write the direct variation equation:
[y = -2x]
So, the direct variation equation of the graph through the points (0, 0) and (1, -2) is (y = -2x).
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7