# What is the slope of the line passing through the following points:  ( 3,5 ) , (2, 0)?

Dec 29, 2015

The slope is 5

#### Explanation:

The slope is the difference in y(or f(x) ) when x changes its value by 1. If x is increased by 1 and the y also rises, the slope is positive; if x is increased by 1 but y decreases, the slope is negative.
In this case, $x$ has decreased by 1, and $y$ also decreased, but by 5, so, the slope is positive, and has the value of 5.

Dec 29, 2015

$S l o p e = 5$

#### Explanation:

To be mathematical
Slope between any two points $\left(x 1 , y 1\right)$ & $\left(x 2 , y 2\right)$on a 2D Cartesian coordinate system id given by
$m \left(s l o p e\right) = \frac{y 2 - y 1}{x 2 - x 1}$
So, in this case
$s l o p e = \frac{0 - 5}{2 - 3}$
thus, $S l o p e = 5$