# How do you write the equation in point slope form given m=-2; (0,1)?

Aug 29, 2016

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

#### Explanation:

The equation of a straight line of slope ($m$) pasing through the point $\left({x}_{1} , {y}_{1}\right)$ is given by:

$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$

In this example $m = - 2 , {x}_{1} = 0 , {y}_{1} = 1$

Hence the equation of the line is:

$\left(y - 1\right) = - 2 \left(x - 0\right) \to \left(y - 1\right) = - 2 x$

$y = - 2 x + 1$