# What is the slope of the line passing through the following points:  (1,-4), (2,-5)?

##### 1 Answer
Apr 19, 2018

$- 1$

#### Explanation:

To find the slope between two points, it is helpful to use the slope formula:

$\text{slope" = "change in y"/"change in x}$

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

Let's call $\left(1 , - 4\right)$ Point 1, so:
${x}_{1} = 1$
${y}_{1} = - 4$

And let's call $\left(2 , - 5\right)$ Point 2, so:
${x}_{2} = 2$
${y}_{2} = - 5$

Now plug those values into the equation:

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$m = \frac{- 5 - - 4}{2 - 1}$

m = (-5 + 4)/(2 -1

$m = \frac{- 1}{1}$

$m = - 1$

The slope between these two points is $- 1$.