Chapter 2 - Functions, Equations, and Graphs - Mid-Chapter Quiz - Page 89: 8

Slope-Intercept Form: $y=4x-2$ Slope: $m=4$

Using the properties of equality, in the form $y=mx+b$ (or the Slope-Intercept Form of Linear Equations), the given equation, $ 4x=2+y ,$ is equivalent to \begin{align*} 4x-2&=2+y-2 \\ 4x-2&=y \\ y&=4x-2 .\end{align*} Since $m$ is the slope in $y=mx+b,$ then the slope, $m,$ of the equation above, $y=2x-9,$ is \begin{align*} m=4 .\end{align*}