A direct linear variation of y with x has the general form:
[tex]y=mx[/tex]Where m is the ratio of y to x, which is a y divided by x.
Since we know that when x equals 8, y equals 12, we can calculate m, like this:
[tex]m=\frac{y}{x}=\frac{12}{8}=\frac{6}{4}=\frac{3}{2}[/tex]Now that we know that m=3/2, the linear variation equation would be:
[tex]y=\frac{3}{2}x[/tex]
