Find the inclination $\theta$ (in radians and degrees) of the line passing through the points.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. $( 12,9 ) , ( 4,3 )$
A) $\Theta \approx 0.6435 \text { radians } \approx 36.9$
B) $\Theta \approx 0.6435 \text { radians } \approx 37.9$
C) $\Theta \approx 0.6435 \text { radians } \approx 35.9$
D) $\Theta \approx 0.6435 \text { radians } \approx 38.9$
E) $\Theta \approx 0.6435 \text { radians } \approx 34.9$

Question

Find the inclination $\theta$ (in radians and degrees) of the line passing through the points.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.  $( 12,9 ) , ( 4,3 )$ 
A) $\Theta \approx 0.6435 \text { radians } \approx 36.9$
B) $\Theta \approx 0.6435 \text { radians } \approx 37.9$
C) $\Theta \approx 0.6435 \text { radians } \approx 35.9$
D) $\Theta \approx 0.6435 \text { radians } \approx 38.9$
E) $\Theta \approx 0.6435 \text { radians } \approx 34.9$

Quizplus · Accepted Answer

The inclination $\theta$ of a line can be found using the formula $\theta = \arctan\left(\frac{y_2 - y_1}{x_2 - x_1}\right)$. For the points (12,9) and (4,3), $\theta = \arctan\left(\frac{3 - 9}{4 - 12}\right) = \arctan\left(\frac{-6}{-8}\right) = \arctan\left(\frac{3}{4}\right)$. Calculating this gives $\theta \approx 0.6435$ radians or $\approx 36.9^\circ$.

Find the Inclination θ\thetaθ (In Radians and Degrees) of the Line Passing Through the Line

Find the Inclination $\theta$ (In Radians and Degrees) of the Line Passing Through the Line