Question

Find the slope determined by the following pair of points:

(1/15,0) (2,1/4)

Answer 1

`\large\boxed{m=(15)/(116)}`

Explanation:

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have two points:

`\left((1)/(15),\ 0\right),\ \left(2,\ (1)/(4)\right)`

Substitute:

`m=((1)/(4)-0)/(2-(1)/(15))=((1)/(4))/((30)/(15)-(1)/(15))=((1)/(4))/((29)/(15))=(1)/(4):(29)/(15)=(1)/(4)\cdot(15)/(29)=(15)/(116)`