# How do you write an equation in point-slope form of the line that passes through the point (4, -1) and has a slope of -5?

Apr 13, 2018

$y + 1 = - 5 \left(x - 4\right)$

Here's how I did it:

#### Explanation:

Point-slope form is shown here:

Since we have the value of one point and the slope, we can plug those into the formula:
$y - \left(- 1\right) = - 5 \left(x - 4\right)$

And we can simplify that to:
$y + 1 = - 5 \left(x - 4\right)$

Hope this helps!