# How do you find the slope of the line passing through the points (8,5) and (6,2)?

Jul 19, 2018

The slope is $\frac{3}{2}$ or $1.5$.

#### Explanation:

To find the slope given two points, we use the formula $\text{rise"/"run}$, or $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.

Plug in the given points into the formula:
$\frac{2 - 5}{6 - 8} = \frac{- 3}{-} 2 = \frac{3}{2}$

Therefore, the slope is $\frac{3}{2}$ or $1.5$.

Hope this helps!

Jul 19, 2018

$\frac{3}{2}$

#### Explanation:

To find the slope for two points, we can use the formula

$\frac{\Delta y}{\Delta x}$

Where the Greek letter Delta ($\Delta$) is shorthand for "change in".

We just see how much our $y$ changes, and divide by how much our $x$ changes.

We go from $y = 5$ to $y = 2$, which represents a $\Delta y$ of $- 3$.

We go from $x = 8$ to $x = 6$, which represents a $\Delta x$ of $- 2$.

Therefore, our slope is $- \frac{3}{-} 2$, or $\frac{3}{2}$.

Hope this helps!