Analytic Geometry Q4

**looi76** · January 30th 2009, 11:09 PM

Question:
Find the slope of the line passing through $(4,5)$ and $(-8,-3)$ and find the angle of inclination of the line to the nearest degree.

Attempt:
$(4,5)$ $(-8,-3)$

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3-5}{-8-4} = \frac{-8}{-12} = \frac{2}{3}$

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

$\phi = \tan^{-1}\left(\frac{2}{3}\right)$

$\phi = 33.7^o$

Is my answer correct?

**running-gag** · January 31st 2009, 12:22 AM

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

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