# How do you write an equation in standard form given (10, 6) m=7?

Aug 31, 2016

$7 x - y - 64 = 0$

#### Explanation:

Equation of a line passing through point $\left({x}_{1} , {y}_{1}\right)$ and having a slope $m$ is given by

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

Hence equation of line passing through $\left(10 , 6\right)$ and having a slope of $7$ is

(y-6)=7×(x-10) or

$y - 6 = 7 x - 70$ or

$7 x - y - 64 = 0$