Question

find the slope of the line joining the points (-a, a),(0,a+a√3)​

Answer 1

SolutioN :-

$\longrightarrow \sf m = \frac{x_2-x_1}{y_2-y_1} \\ \\ \longrightarrow \sf m = \frac{0 - ( - a)}{a + a \sqrt{3} - a } \\ \\ \longrightarrow \sf m = \frac{a}{a \sqrt{3} } \\ \\ \longrightarrow \sf m = \frac{1}{ \sqrt{3} } \\ \\ \longrightarrow \sf m = \frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ \\ \longrightarrow \boxed{\sf m = \frac{ \sqrt{3} }{3} }$