# What is the equation of a line through the point (1,3) that has a slope of 2?

Mar 22, 2018

$y = 2 x + 1$

#### Explanation:

Well if the slope is the gradient you have the formula $y - {y}_{1} = m \left(x - {x}_{1}\right)$ so the equation of the line becomes:

$y - 3 = 2 \left(x - 1\right)$

$\implies y - 3 = 2 x - 2$

$y = 2 x + 1$ (in $y = m x + b$ form)

or

$2 x - y + 1 = 0$ ($a x + b y + c$ form)