Direct variation
Explanation:
Given –2 + 4y + 2 = 8x.
To find the given expression –2 + 4y + 2 = 8x is direct variation or not.
If y varies directly as x, then y = kx.
If y varies inversely as x, then [tex]y=\frac{k}{x}[/tex]
⇒ –2 + 4y + 2 = 8x
Combine like terms together.
⇒ –2 + 2 + 4y = 8x
⇒ 4y = 8x
Divide both sides of the equation by 4, we get
⇒ y = 2x
Which is in the format of y = kx.
Thus y varies directly as x.
Hence, –2 + 4y + 2 = 8x is direct variation.
