# How do you write an equation of a line with Slope = 4, passing through (1, 3)?

Jun 2, 2015

In general the point-slope form for a line through a point $\left(\hat{x} , \hat{y}\right)$ with a slope of $m$ is
$\textcolor{w h i t e}{\text{XXXXX}}$$\left(y - \hat{y}\right) = m \left(x - \hat{x}\right)$

For the given point (1,3) and slope $4$, this becomes
$\textcolor{w h i t e}{\text{XXXXX}}$$\left(y - 3\right) = 4 \left(x - 1\right)$

While the above is a complete solution to the question, you might want to write this as
$\textcolor{w h i t e}{\text{XXXXX}}$$y = 4 x - 1$
$\textcolor{w h i t e}{\text{XXxxxXXX}}$or
$\textcolor{w h i t e}{\text{XXXXX}}$$4 x + y = 1$