# How do you write an equation of the line that passes through the point (2, 1) and has slope 5 in point-slope form?

The point-slope equation of the line that passes through the point $\left(2 , 1\right)$ and has the slope $5$, is $y - 1 = 5 \left(x - 2\right)$.
The generic equation for point-slope form is $y - {y}_{1} = m \left(x - {x}_{1}\right)$, where $m$ is the slope and ${x}_{1}$ and ${y}_{1}$ are the given point.
For this equation, $m = 5$, ${x}_{1} = 2$, and ${y}_{1} = 1$.
$y - 1 = 5 \left(x - 2\right)$