Answer:
The answer is 2.
2 since 6/4=3/2
Step-by-step explanation:
Since your relation is a direct variation then the points on your line are of the form y=kx where k is the constant of variation (also called constant of proportionality)
If y=kx then y/x=k.
So all the points in this relation since it is a direct variation will be equal to y-coordinate/x-coordinate.
So we are going to solve this proportion:
[tex]\frac{6}{4}=\farc{3}{x}[/tex]
Again I put y/x from each point. They should have same ratio because this is a direct variation.
Cross multiply:
[tex]6(x)=4(3)[/tex]
[tex]6x=12[/tex]
Divide boht sides by 6:
[tex]x=\frac{12}{6}[/tex]
[tex]x=2[/tex]
Answer:
Step-by-step explanation:
You are solving for the direct variation. This means that the amount of change for is consistent for both x & y:
Note: (x , y) & (x₁ , y₁)
(x , y) = (4 , 6)
(x₁ , y₁) = (x , 3)
Set the two equal to each other:
(4 , 6) = (x , 3)
Find common denominators (y). Remember that what you multiply to one you multiply to the other:
(4 , 6) = (x * 2, 3 * 2) = (2x , 6)
Simplify. Isolate the variable x. Divide:
(4) = (2x)
(4)/2 = (2x)/2
x = 4/2
x = 2
x = 2 is your answer.
