Find the gradient of the line passing through the points \((\frac{1}{2}, \frac{- 1}{3}) and ( 3 , \frac{2}{3})\)
A.
\(\frac{2}{5}\)
B.
\(\frac{5}{2}\)
C.
\(\frac{2}{7}\)
D.
\(\frac{7}{2}\)
Correct answer is A
Gradient(slope) m = \(\frac{ y_2 - y_1}{ x_2 - x_1}\)
the points are \((\frac{1}{2}, \frac{- 1}{3}) and ( 3 , \frac{2}{3})\)
m = \(\frac{\frac{2}{3} - (\frac{-1}{3})}{3 - \frac{1}{2}}\)
= \(\frac{\frac{2}{3} + \frac{1}{3}}{3 - \frac{1}{2}}\)
= \(1 \div\frac{5}{2}\) = \(1\times\frac{2}{5}\)
Therefore, m = \(\frac{2}{5}\)
