Question

Find the slope determined by the following pair of points: (1/15,0) (2,1/4)

Answer 1

Answer:

$\large\boxed{m=\dfrac{15}{116}}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points:

$\left(\dfrac{1}{15},\ 0\right),\ \left(2,\ \dfrac{1}{4}\right)$

Substitute:

$m=\dfrac{\frac{1}{4}-0}{2-\frac{1}{15}}=\dfrac{\frac{1}{4}}{\frac{30}{15}-\frac{1}{15}}=\dfrac{\frac{1}{4}}{\frac{29}{15}}=\dfrac{1}{4}:\dfrac{29}{15}=\dfrac{1}{4}\cdot\dfrac{15}{29}=\dfrac{15}{116}$