# How do you write an equation in point-slope form for the given (1,2), m= 2?

Aug 10, 2015

$\left(y - 2\right) = 2 \left(x - 1\right)$

#### Explanation:

When given a point $\left({x}_{1} , {y}_{1}\right)$ and the slope $m$
you can plug it into the point slope form of
$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$ to get your equation.

So, given your point of $\left(1 , 2\right)$ and a slope of $m = 2$
we can plug in ${x}_{1} = 1$, ${y}_{1} = 2$, and $m = 2$
into $\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$

to get:
$\left(y - 2\right) = 2 \left(x - 1\right)$