# How do you write an equation of a line given (1,7) with a slope of 7?

Jun 25, 2016

$y = 7 x$

#### Explanation:

The equation of a line passing through $\left({x}_{1} , {y}_{1}\right)$ and having a slope of $m$ is

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

Hence equation of desired line is

$\left(y - 7\right) = 7 \left(x - 1\right)$ or

$y - 7 = 7 x - 7$ or

$y = 7 x$