Question

Find the slope and angle of inclination of the line joining the points (2, 3) and (-1, 2).​

Answer 1

Hope it helps uh bro. ... . .

Answer 2

Question :

Find the slope and angle of inclination of the line joining the points (2, 3) and (-1, 2).

Concept :

Slope (m) :

Slope of the line joining the points $\tt ({x}_{1},{y}_{1})$ and $\tt ({x}_{2},{y}_{2})$ is given by

m = $\tt \frac{{y}_{2} - {y}_{1}}{{x}_{2}-{x}_{1}}$

Angle of inclination :

Angle of inclination of a line having slope m is given by

$\tt \theta = {tan}^{-1}(m)$

Solution :

The slope of line joining the points (2,3) and (-1,2) is

m = $\tt \frac{{y}_{2} - {y}_{1}}{{x}_{2}-{x}_{1}}$

$\tt \implies$ m = $\tt \frac{2-3}{-1-2}$

$\tt \implies$ m = $\tt \frac{-1}{-3}$

$\tt \implies$ m = $\tt \frac{1}{3}$

$\tt \therefore$ m = $\tt \frac{1}{3}$

Angle of inclination = $\tt \theta = {tan}^{-1}(m)$

$\tt \implies \theta = {tan}^{-1}(\frac{1}{3})$

$\tt \therefore \theta = {tan}^{-1}(\frac{1}{3})$