# How do you create a linear model in a word problem?

Nov 7, 2014

To find a linear function (model), we need two pieces of information:

$\left\{\begin{matrix}\text{Point: " (x_1y_1) \\ "[Slope](http://socratic.org/algebra/graphs-of-linear-equations-and-functions/slope): } m\end{matrix}\right.$

So, find them from the description of the problem, then use Point-Slope Form

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

to come up with the equation.

I hope that this was helpful.