Question

What is the slope of a line that passes through the points(1/4,2) and (3,2/3)

Answer 1

The formula of a slope:

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

We have $\left(\dfrac{1}{4},\ 2\right),\ \left(3,\ \dfrac{2}{3}\right)$

Substitute:

$m=\dfrac{\frac{2}{3}-2}{3-\frac{1}{4}}=\dfrac{\frac{2}{3}-\frac{6}{3}}{\frac{12}{4}-\frac{1}{4}}=\dfrac{-\frac{4}{3}}{\frac{11}{4}}=-\dfrac{4}{3}\cdot\dfrac{4}{11}=-\dfrac{16}{33}$

Answer: $m=-\dfrac{16}{33}$