# How do you write the equation of a line that has a slope of -2 and passes through (3, -1)?

Nov 30, 2016

$y = - 2 x + 5$

#### Explanation:

Use slope-intercept form or point-slope form. Here, I will use slope-intercept form.

$y = m x + b$

Solve for b using the slope, m, and the (x,y) points of (3,-1).

$y = - 2 x + b$

$- 1 = \left(- 2 \cdot 3\right) + b$

$- 1 = - 6 + b$

$b = - 1 + 6 = 5$

$y = - 2 x + 5$