Answer:
[tex]\large\boxed{m=\dfrac{15}{116}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points:
[tex]\left(\dfrac{1}{15},\ 0\right),\ \left(2,\ \dfrac{1}{4}\right)[/tex]
Substitute:
[tex]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}[/tex]
