# What is the slope of the line passing through the following points:  (5, 9) , (-4, 5) ?

Apr 13, 2018

The slope is $\frac{4}{9}$.'

Here's how I did it:

#### Explanation:

The formula for slope is $\left(\text{change in y")/("change in x}\right)$, or $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.

Since we have the values of two points, $\left(5 , 9\right)$ and $\left(- 4 , 5\right)$, we can plug them into the formula and solve for the slope:
$\frac{5 - 9}{- 4 - 5}$

And now we simplify:
$\frac{- 4}{- 9}$

$\frac{4}{9}$

The slope is $\frac{4}{9}$.

Hope this helps!

Apr 13, 2018

$\text{slope } = \frac{4}{9}$

#### Explanation:

$\text{to calculate the slope m use the "color(blue)"gradient formula}$

•color(white)(x)m=(y_2-y_1)/(x_2-x_1)

$\text{let "(x_1,y_1)=(5,9)" and } \left({x}_{2} , {y}_{2}\right) = \left(- 4 , 5\right)$

$\Rightarrow m = \frac{5 - 9}{- 4 - 5} = \frac{- 4}{- 9} = \frac{4}{9}$