# Chapter 3 Linear Systems and Matrices - 3.6 Multiplying Matrices - 3.6 Exercises - Mixed Review - Page 202: 56

$y=2x$

#### Work Step by Step

The equation for a line defined by a point and slope is $y-y_{1}=m(x-x_{1})$ in which $m$ is the slope, which we can calculate from $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$, where $x_{1}$, $x_{2}$, $y_{1}$ and $y_{2}$ are the coordinates of given points, so therefore... $m=\frac{2-8}{1-4}=\frac{-6}{-3}=2$ $y-2=2(x-1)$ $y=2x-2+2$ $y=2x$

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