# How do you write the standard form of a line given (1, 6) and has a slope of 2?

Jul 11, 2016

$y = 2 x + 4$

#### Explanation:

There is a very useful formula for the equation of a straight line if you are given the slope and one point. This is exactly what we have.

$y - {y}_{1} = m \left(x - {x}_{1}\right) \text{ }$ substitute (1,6) and 2 for $\left({x}_{1} , {y}_{1}\right) \mathmr{and} m$

$y - 6 = 2 \left(x - 1\right) \text{ now simplify and re-arrange}$

$y = 2 x - 2 + 6$

$y = 2 x + 4$