# How do you name the point and slope given y=3+2(x-1)?

$\textcolor{w h i t e}{\text{XXXX}}$$y - b = m \left(x - a\right)$ with a slope of $m$ through a point $\left(a , b\right)$
$y = 3 + 2 \left(x - 1\right)$ can be easily converted into that form:
$\textcolor{w h i t e}{\text{XXXX}}$$y - 3 = 2 \left(x - 1\right)$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$with a slope of $2$ through the point $\left(1 , 3\right)$