Write an appropriate direct variation equation if y = 18 when x = 2

Question

solomonzelman · Answer

$\large\color{black}{y={\rm \color{orangered}{k}}{\tiny~}x }$   is the equation for a direct variation, where $\large\color{black}{{\rm \color{orangered}{k}}}$ is the constant of variation (or, you can call it, the slope of the line).

solomonzelman · Answer

$\large\color{black}{y={\rm \color{orangered}{k}}{\tiny~}x }$

you are given that:
1.   $\large\color{black}{x=2}$
2.   $\large\color{black}{y=18 }$

Plug in the given $\large\color{black}{x}$ and $\large\color{black}{y}$        INTO  $\large\color{black}{y={\rm \color{orangered}{k}}{\tiny~}x }$         and solve for $\large\color{black}{{\rm \color{orangered}{k}}{\tiny~} }$.

solomonzelman · Answer

After you find what the k is:

Write your direct variation equation,  $\large\color{black}{y={\rm \color{orangered}{k}}{\tiny~}x }$  BUT, instead of  $\large\color{black}{{\rm \color{orangered}{k}} }$  you would need to put the solution (you got) for $\large\color{black}{{\rm \color{orangered}{k}}{\tiny~} }$.

solomonzelman · Answer

If you need more help, let me know,.