# How do you the equation of the line that passes through x-intercept (–8, 0) and undefined slope?

Jul 20, 2016

$y = m \left(x + 8\right)$

#### Explanation:

Equation of a line passing through point $\left({x}_{1} , {y}_{1}\right)$ and having a slope $m$ is $\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$, irrespective of whether the point forms intercept on $x$ or $y$ axis or not.

Hence the equation of line forming intercept $- 8$ on $x$ axis having a slope $m$ is

$\left(y - 0\right) = m \left(x - \left(- 8\right)\right)$ or

$y = m \left(x + 8\right)$