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. $( 4,5 ) , ( 7,8 )$
A) $\Theta \approx 0.7854 \text { radians } \approx 46.0 ^ { \circ }$
B) $\Theta \approx 0.7854 \text { radians } \approx 44.0 ^ { \circ }$
C) $\Theta \approx 0.7854 \text { radians } \approx 47.0 ^ { \circ }$
D) $\Theta \approx 0.7854 \text { radians } \approx 43.0 ^ { \circ }$
E) $\Theta \approx 0.7854 \text { radians } \approx 45.0 ^ { \circ }$

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.  $( 4,5 ) , ( 7,8 )$ 
A) $\Theta \approx 0.7854 \text { radians } \approx 46.0 ^ { \circ }$ 
B) $\Theta \approx 0.7854 \text { radians } \approx 44.0 ^ { \circ }$
C) $\Theta \approx 0.7854 \text { radians } \approx 47.0 ^ { \circ }$
D) $\Theta \approx 0.7854 \text { radians } \approx 43.0 ^ { \circ }$
E) $\Theta \approx 0.7854 \text { radians } \approx 45.0 ^ { \circ }$

Quizplus · Accepted Answer

The slope of the line is 1, which means the inclination $\theta$ is $\tan^{-1}(1) = \frac{\pi}{4} \approx 0.7854$ radians, which is equivalent to 45 degrees.

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