Respuesta :
Answer:
The relation [tex]y=\frac{7}{2}x[/tex] or y = seven-halves x is direct variation.
Step-by-step explanation:
Given:
The ordered pair = (2, 7).
Now, to get the direct variation:
As (2,7) lies on it.
So, direct variation means [tex]y=kx.[/tex]
[tex]x=2.[/tex]
[tex]y=7.[/tex]
Now,
[tex]y=kx[/tex]
[tex]7=k\times 2[/tex]
[tex]\frac{7}{2} =k[/tex]
[tex]k=\frac{7}{2}[/tex]
Now, to get the direct variation:
[tex]y=kx[/tex]
[tex]y=\frac{7}{2}x[/tex]
[tex]y=\frac{7}{2}x[/tex] or y = seven-halves x.
Therefore, the relation [tex]y=\frac{7}{2}x[/tex] or y = seven-halves x is direct variation.
