Find the inclination $\theta$ (in radians and degrees) of the line.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. $8 x - 2 y + 14 = 0$
A) $\theta \approx 1.4289 \text { radians } \approx 82.9 ^ { \circ }$
B) $\Theta \approx 1.4289 \text { radians } \approx 80.9 ^ { \circ }$
C) $\theta \approx 1.4289 \text { radians } \approx 83.9 ^ { \circ }$
D) $\theta \approx 1.4289 \text { radians } \approx 79.9 ^ { \circ }$
E) $\theta \approx 1.4289 \text { radians } \approx 81.9 ^ { \circ }$

Question

Find the inclination $\theta$ (in radians and degrees) of the line.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. $8 x - 2 y + 14 = 0$ 
A) $\theta \approx 1.4289 \text { radians } \approx 82.9 ^ { \circ }$
B) $\Theta \approx 1.4289 \text { radians } \approx 80.9 ^ { \circ }$
C) $\theta \approx 1.4289 \text { radians } \approx 83.9 ^ { \circ }$
D) $\theta \approx 1.4289 \text { radians } \approx 79.9 ^ { \circ }$
E) $\theta \approx 1.4289 \text { radians } \approx 81.9 ^ { \circ }$

Quizplus · Accepted Answer

The slope of the line is $m = \frac{8}{2} = 4$. The inclination $\theta$ is given by $\tan^{-1}(4)$, which is approximately 1.4289 radians or 81.9 degrees.

Find the Inclination θ\thetaθ (In Radians and Degrees) of the Line 8x−2y+14=08 x - 2 y + 14 = 08x−2y+14=0

Find the Inclination $\theta$ (In Radians and Degrees) of the Line $8 x - 2 y + 14 = 0$