# How do you write the equation of the line that passes through (–1, 5) with a slope of 2 in standard form?

Jul 3, 2016

$y = 2 x + 7$

#### Explanation:

First find the intercept using the equation

$y = m x + c$

Where -

$m = 2$
$x = - 1$
$y = 5$

$m x + c = y$
$2. \left(- 1\right) + c = 5$
$- 2 + c = 5$
$c = 5 + 2 = 7$

Now you have $c = 7$ and $m = 2$

write the equation

$y = 2 x + 7$