# How do you write the point slope form of the equation given m=6 and (2,5)?

Oct 17, 2016

$y = 6 x - 7$

#### Explanation:

$y - {y}_{0} = m \left(x - {x}_{0}\right)$

We are given the slope $m = 6$, and the point $\left(2 , 5\right)$, which gives us ${x}_{0}$ and ${y}_{0}$

So, $y - {y}_{0} = m \left(x - {x}_{0}\right) \implies y - 5 = 6 \left(x - 2\right)$

$\implies y - 5 = 6 x - 12$

$\implies y = 6 x - 7$

Hope this helps :)