# What is the slope of the line passing through  (0,0); (3,4)?

Jun 18, 2018

$\text{slope } = \frac{4}{3}$

#### Explanation:

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

•color(white)(x)m=(y_2-y_1)/(x_2-x_1)

$\text{let "(x_1,y_1)=(0,0)" and } \left({x}_{2} , {y}_{2}\right) = \left(3 , 4\right)$

$m = \frac{4 - 0}{3 - 0} = \frac{4}{3}$

Jun 18, 2018

$C = 0$
$M = \frac{4}{3} - \frac{c}{3}$

#### Explanation:

$Y = m x + c$ is the equation of the slope
Now given values are (0,0);(3,4)
Now first take (0,0) values and put them in the equation then
$0 = m \cdot 0 + c$
$C = 0$
Now take (3,4) value
$4 = m \times 3 + c$
$M = \frac{4}{3} - \frac{c}{3}$