# How do you write an equation in point-slope form for the given (-4,-1) and (2,-1)?

Apr 6, 2018

$y = - 1$

#### Explanation:

Using the point slope formula where slope between two points $= \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$, we get:

$\frac{- 1 + 1}{- 4 + 2} = 0$

Now we can use the point slope equation $y - {y}_{1} = m \left(x - {x}_{1}\right)$ where m= slope.

Plugging in the numbers we get:
y-(-1)=0(x-(-4)

The line is: $y = - 1$

*An easier way to do this problem is to first notice that (-4,-1) and (2,-1) lie on the same line already, since both y values equal to -1, meaning there's no slope.

We can graph it out on a calculator or online to see how this works. Here's one that I did on Desmos!