
Analytic Geometry Q4
Question:
Find the slope of the line passing through $\displaystyle (4,5)$ and $\displaystyle (8,3)$ and find the angle of inclination of the line to the nearest degree.
Attempt:
$\displaystyle (4,5)$ $\displaystyle (8,3)$
$\displaystyle m = \frac{y_2  y_1}{x_2  x_1} = \frac{35}{84} = \frac{8}{12} = \frac{2}{3}$
$\displaystyle \phi = \tan^{1}(m)$
$\displaystyle \phi = \tan^{1}\left(\frac{2}{3}\right)$
$\displaystyle \phi = 33.7^o$
Is my answer correct?

Yes your answer is correct
The nearest degree of the angle is $\displaystyle \phi = 34^o$