# How do you write an equation in point slope form for the line with the given slope m=-2 and passes through the given point (0,1)?

Apr 3, 2015

If a straight line passes through a point $\left(a , b\right)$ then the slope of that line is
$\frac{y - b}{x - a}$

In this case we are told that the point is $\left(0 , 1\right)$ and that the slope is $m = - 2$

So
$\frac{y - 1}{x - 0} = - 2$

$\rightarrow y - 1 = - 2 x$

$\rightarrow y = - 2 x + 1$ (in slope-intercept form)