# What is the slope of the line passing through the following points:  (1,5), (-1,-3) ?

$4$

#### Explanation:

Slope ($m$) of line passing through the points $\left({x}_{1} , {y}_{1}\right) \setminus \equiv \left(1 , 5\right)$ & $\left({x}_{2} , {y}_{2}\right) \setminus \equiv \left(- 1 , - 3\right)$ is given as follows

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

$= \setminus \frac{- 3 - 5}{- 1 - 1}$

$= 4$

Jul 2, 2018

$m = 4$

#### Explanation:

Slope is given by the expression

$\frac{\Delta y}{\Delta x}$, where the Greek letter $\Delta$ (Delta) represents change in.

If that expression seems foreign to you, all it is saying is we find out what our $y$ changes by, and divide it by what our $x$ changes by.

$y$ goes from $5$ to $- 3$, which represents a change by $- 8$, so we can say $\Delta y = - 8$.

$x$ goes from $1$ to $- 1$. This represents a change by $- 2$; We can say

$\Delta x = - 2$

Now, we divide the two. We get

$4$ as our slope.

Hope this helps!