# How do you write an equation of a line with slope of 2 and passes through (-5, 1)?

Nov 15, 2016

$y = 2 x + 11$

#### Explanation:

We can write this equation using the slope-intercept form, shown below.
$y = m x + b$
Here, m is the slope and b is the y-intercept.

First, we can input the value of the slope given in the problem.
$y = 2 x + b$

To determine the b value, we must input the given x and y values.
$1 = 2 \left(- 5\right) + b$
$1 = - 10 + b$
We then simply add 10 to both sides.
$11 = b$

Next, we can plug this b value into the original equation. This is the equation of the line.
$y = 2 x + 11$