# How do you find the slope for (2,5); (9,1)?

Mar 20, 2018

$m = - \frac{4}{7}$

#### Explanation:

Let $\left(2 , 5\right)$ be $\left({x}_{1} , {y}_{1}\right)$ and $\left(9 , 1\right)$ be $\left({x}_{2} , {y}_{2}\right)$.
Now, to find the slope we use this simple formula,
m=(y_2−y_1)/(x_2−x_1)
Substituting the values, we get,
m=(1−5)/(9−2)
$\therefore m = - \frac{4}{7}$

Hope this helps :)

Mar 20, 2018

See a solution process below:

#### Explanation:

The formula for find the slope of a line is:

$m = \frac{\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}}{\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}}$

Where $\left(\textcolor{b l u e}{{x}_{1}} , \textcolor{b l u e}{{y}_{1}}\right)$ and $\left(\textcolor{red}{{x}_{2}} , \textcolor{red}{{y}_{2}}\right)$ are two points on the line.

Substituting the values from the points in the problem gives:

$m = \frac{\textcolor{red}{1} - \textcolor{b l u e}{5}}{\textcolor{red}{9} - \textcolor{b l u e}{2}} = - \frac{4}{7}$

Mar 20, 2018

-4/7

#### Explanation:

The equation of line passing though two points is given by
$y - {y}_{1} = m \left(x - {x}_{1}\right)$
where m is known s slope and it is given by
m=(y_2-y_1)/(x_2-x_1