# How do you write the equation of a line in point slope form given the line has a slope of –6 and a y- intercept of 0.5?

Oct 11, 2014

A y-intercept implies that the coordinates of that intercept is $\left(0 , 0.5\right)$

We are also given the slope, $m$, $- 6$.

Point slope $\to \left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$ where the point is $\left({x}_{1} , {y}_{1}\right)$

$\left(y - 0.5\right) = - 6 \left(x - 0\right) \to$ Point Slope

$\left(y - 0.5\right) = - 6 \left(x\right)$

$y = - 6 x + 0.5 \to$ Slope Intercept