# What is the slope of the line passing through the following points: (3, 5) ,(-4, 1) ?

May 21, 2018

Slope = $\frac{4}{7}$

#### Explanation:

Slope Formula = $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$
1st Point is $\left(3 , 5\right)$
2nd Point is $\left(- 4 , 1\right)$

Slope = $\frac{1 - 5}{- 4 - 3} = - \frac{4}{-} 7 = \frac{4}{7}$

May 21, 2018

$\text{slope } = \frac{4}{7}$

#### Explanation:

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

•color(white)(x)m=(y_2-y_1)/(x_2-x_1)

$\text{let "(x_1,y_1)=(3,5)" and } \left({x}_{2} , {y}_{2}\right) = \left(- 4 , 1\right)$

$\Rightarrow m = \frac{1 - 5}{- 4 - 3} = \frac{- 4}{- 7} = \frac{4}{7}$