`(12, 8), (-4, -3)` Find the inclination 'theta' (in radians and degrees) of the line with slope m.

Expert Answers
mathace eNotes educator| Certified Educator

Given (12, 8) (-4, -3)

 

Find the slope of the line passing through the given points using the formula

`m=(y_2-y_1)/(x_2-x_1)`

` ` `m=(-3-8)/(-4-12)=[-11]/-16=11/16`

 

Find the angle of inclination.

`theta=arctan(11/16)=34.5^@=.6023`  radians.

 

The angle of inclination of the line passing through the given points is

34.5 degrees or .6023 radians.